Difference between revisions of "031 Review Part 3, Problem 1"
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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) Is the matrix <math style="vertical-align: -18px">A= |
\begin{bmatrix} | \begin{bmatrix} | ||
| − | + | 3 & 1 \\ | |
| − | + | 0 & 3 | |
| − | + | \end{bmatrix}</math> diagonalizable? If so, explain why and diagonalize it. If not, explain why not. | |
| − | \end{bmatrix}</math> and | + | |
| − | + | <span class="exam">(b) Is the matrix <math style="vertical-align: -31px">A= | |
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\begin{bmatrix} | \begin{bmatrix} | ||
| − | + | 2 & 0 & -2 \\ | |
| − | + | 1 & 3 & 2 \\ | |
| − | 0 & 0 & | + | 0 & 0 & 3 |
| − | \end{bmatrix} | + | \end{bmatrix}</math> diagonalizable? If so, explain why and diagonalize it. If not, explain why not. |
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| − | |||
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Revision as of 19:21, 9 October 2017
(a) Is the matrix diagonalizable? If so, explain why and diagonalize it. If not, explain why not.
(b) Is the matrix diagonalizable? If so, explain why and diagonalize it. If not, explain why not.
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Solution:
(a)
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| Step 2: |
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(b)
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| Step 2: |
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| Final Answer: |
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| (a) |
| (b) |