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MATH-4100: Linear Algebra
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<meta property="og:description" content="The theory underlying vector spaces, algebra of subspaces, bases; linear transformations, dual spaces; eigenvectors, eigenvalues, minimal polynomials, canonical forms of linear transformations; inner products, adjoints, orthogonal projections, and complements.">
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Linear Algebra
</h1>
<h2 id="code">
MATH-4100
</h2>
<p>
The theory underlying vector spaces, algebra of subspaces, bases; linear transformations, dual spaces; eigenvectors, eigenvalues, minimal polynomials, canonical forms of linear transformations; inner products, adjoints, orthogonal projections, and complements.
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4 credits
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Prereqs:
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<div id="prereq-classes" class="rel-info-courses">
<a class="course-pill" href="MATH-2010">MATH-2010 Multivar Calc & Matrix Algebra</a>
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<th></th>
<th class="spring season-label">Spring</th>
<th class="summer season-label" colspan="2">Summer</th>
<th class="fall season-label">Fall</th>
</tr>
<tr>
<th colspan="2"></th>
<th class="summer2 midsum-label">(Session 1)</th>
<th class="summer3 midsum-label">(Session 2)</th>
<th></th>
</tr>
</thead>
<tbody>
<tr>
<th class="year">2024</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202401&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
<li>Eliane Zerbetto Traldi</li>
</ul>
<span class="course-capacity">
Seats Taken: 127/140
</span>
</div>
</td>
<td colspan="2" class="term summer offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202405&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Chjan C Lim</li>
</ul>
<span class="course-capacity">
Seats Taken: 25/80
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202409&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Elisabeth Maria Brown</li>
<li>Chjan C Lim</li>
</ul>
<span class="course-capacity">
Seats Taken: 140/140
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2023</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202301&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Chjan C Lim</li>
<li>Belmiro Galo da Silva</li>
</ul>
<span class="course-capacity">
Seats Taken: 128/150
</span>
</div>
</td>
<td colspan="2" class="term summer offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202305&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Belmiro Galo da Silva</li>
</ul>
<span class="course-capacity">
Seats Taken: 76/80
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202309&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Daniel Franklin Stevenson</li>
<li>Chjan C Lim</li>
</ul>
<span class="course-capacity">
Seats Taken: 114/140
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2022</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202201&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Chjan C Lim</li>
<li>Eliane Zerbetto Traldi</li>
</ul>
<span class="course-capacity">
Seats Taken: 131/150
</span>
</div>
</td>
<td colspan="2" class="term summer offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202205&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Eliane Zerbetto Traldi</li>
</ul>
<span class="course-capacity">
Seats Taken: 78/80
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202209&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Eliane Zerbetto Traldi</li>
<li>Elisabeth Maria Brown</li>
</ul>
<span class="course-capacity">
Seats Taken: 140/160
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2021</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202101&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Harry W McLaughlin</li>
<li>Daniel Franklin Stevenson</li>
</ul>
<span class="course-capacity">
Seats Taken: 117/120
</span>
</div>
</td>
<td colspan="2" class="term summer offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202105&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 74/80
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202109&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Daniel Franklin Stevenson</li>
<li>Chjan C Lim</li>
</ul>
<span class="course-capacity">
Seats Taken: 141/160
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2020</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202001&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Chjan C Lim</li>
</ul>
<span class="course-capacity">
Seats Taken: 61/75
</span>
</div>
</td>
<td colspan="2" class="term summer offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202005&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 85/140
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202009&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Harry W McLaughlin</li>
<li>David Isaacson</li>
</ul>
<span class="course-capacity">
Seats Taken: 132/125
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2019</th>
<td class="term spring not-offered">
</td>
<td class="term summer2 not-offered">
</td>
<td class="term summer3 offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201905&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
</ul>
<span class="course-capacity">
Seats Taken: 94/60
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201909&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
</ul>
<span class="course-capacity">
Seats Taken: 113/80
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2018</th>
<td class="term spring not-offered">
</td>
<td class="term summer2 offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201805&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 20/40
</span>
</div>
</td>
<td class="term summer3 not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201809&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 166/140
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2017</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201709&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Chjan C Lim</li>
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 158/120
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2016</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201609&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>David Reese Wells</li>
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 148/120
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2015</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201509&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>David Reese Wells</li>
<li>Michael Zuker</li>
</ul>
<span class="course-capacity">
Seats Taken: 76/110
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2014</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201409&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
<li>Michael Zuker</li>
</ul>
<span class="course-capacity">
Seats Taken: 77/110
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2013</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201309&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Michael Zuker</li>
</ul>
<span class="course-capacity">
Seats Taken: 33/60
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2012</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201209&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 55/60
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2011</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201109&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Victor Roytburd</li>
</ul>
<span class="course-capacity">
Seats Taken: 51/60
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2010</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201009&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 54/48
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2009</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200909&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Michael Zuker</li>
</ul>
<span class="course-capacity">
Seats Taken: 9/48
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2008</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200809&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Michael Zuker</li>
<li>Henry Lawrence Kurland</li>
</ul>
<span class="course-capacity">
Seats Taken: 28/60
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2007</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200709&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Michael Zuker</li>
<li>Victor Roytburd</li>
</ul>
<span class="course-capacity">
Seats Taken: 44/60
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2006</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200609&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Victor Roytburd</li>
<li>Chjan C Lim</li>
</ul>
<span class="course-capacity">
Seats Taken: 39/60
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2005</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200509&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Michael Zuker</li>
<li>Harry W McLaughlin</li>
</ul>
<span class="course-capacity">
Seats Taken: 36/56
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2004</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200409&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Michael Zuker</li>
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 39/56
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2003</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200309&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Michael Zuker</li>
</ul>
<span class="course-capacity">
Seats Taken: 16/28
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2002</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200209&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Chjan C Lim</li>
<li>Harry W McLaughlin</li>
</ul>
<span class="course-capacity">
Seats Taken: 42/56
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2001</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200109&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>R.E. Lee DeVille</li>
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 29/65
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2000</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200009&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Chjan C Lim</li>
<li>Harry W McLaughlin</li>
</ul>
<span class="course-capacity">
Seats Taken: 22/70
</span>
</div>
</td>
</tr>
<tr>
<th class="year">1999</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=199909&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Chjan C Lim</li>
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 15/80
</span>
</div>
</td>
</tr>
<tr>
<th class="year">1998</th>
<td class="term spring unscheduled">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=199809&subj_in=MATH&crse_in=4100&schd_in=">Linear Algebra (4c)</a>
</span>
<ul class="prof-list">
<li>Chjan C Lim</li>
</ul>
<span class="course-capacity">
Seats Taken: 21/70
</span>
</div>
</td>
</tr>
</tbody>
</table>
</div>
</div>
</body>
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