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<p>The column space of a matrix <em>A</em> tells us when the equation <em>Ax</em> = b will have a solution x. The null space of <em>A</em> tells us which values of x solve the equation <em>Ax</em> = 0.</p>
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<h3>Lecture Summary </h3>
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<h3>Suggested Reading</h3>
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<li>Read Section 3.1 through 3.2 in the 4<sup>th</sup> or 5<sup>th</sup> edition.</li>
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<h3 class="hd hd-2">Vector Subspaces</h3>
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<p>Work the problems on your own and check your answers when you're done.</p>
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