Difference between revisions of "031 Review Part 2, Problem 10"
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Kayla Murray (talk | contribs) (Created page with "<span class="exam">Consider the matrix <math style="vertical-align: -31px">A= \begin{bmatrix} 1 & -4 & 9 & -7 \\ -1 & 2 & -4 & 1 \\...") |
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| − | <span class="exam"> | + | <span class="exam">(a) Suppose a <math style="vertical-align: 0px">6\times 8</math> matrix <math style="vertical-align: 0px">A</math> has 4 pivot columns. What is <math style="vertical-align: -1px">\text{dim Nul }A?</math> Is <math style="vertical-align: -1px">\text{Col }A=\mathbb{R}^4?</math> Why or why not? |
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| − | + | <span class="exam">(b) If <math style="vertical-align: 0px">A</math> is a <math style="vertical-align: 0px">7\times 5</math> matrix, what is the smallest possible dimension of <math style="vertical-align: -1px">\text{Nul }A?</math> | |
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| − | <span class="exam">(b) | ||
Revision as of 19:17, 9 October 2017
(a) Suppose a matrix has 4 pivot columns. What is Is Why or why not?
(b) If is a matrix, what is the smallest possible dimension of
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(b)
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