# a9 - A = 1-i 3 i-2-1-3 i 4 i-4 i-4 i 1-i 1 3 i-1 i-2-4 i...

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Math 136 Assignment 9 Due: Wednesday, Apr 1st Section 6-1 Exercises B1. a), b) B2. a) D2. D4. Section 6-2 Exercises B2. a), b) B3. D2. D3. MATLAB question is on the next page.

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Use MATLAB to complete the following question. Use the diary feature to record your work. Include your written conclusions in your diary ﬁle as well. When ﬁnished, print out your diary ﬁle and submit it with the rest of your assignment. Eigenvalues and Eigenvectors To ﬁnd the eigenvalues of a matrix in MATLAB, use the eig command. For example, the eigenvalues of the matrix A = 11 - 10 4 12 - 15 8 12 - 18 11 can be found as follows: >> A = [11 -10 4; 12 -15 8; 12 -18 11] >> eig(A) MATLAB returns that the eigenvalues of A are 5, -1, and 3. (a) Use MATLAB to ﬁnd the eigenvalues and a basis for each eigenspace of the matrix
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Unformatted text preview: A = 1-i 3 + i-2-1-3 i 4 + i-4 + i-4 i 1-i 1 + 3 i-1 + i-2-4 i 3-i 1 + 3 i-1 + i-2-4 i 1-i 3 + 3 i-1 + i-2-4 i 1-i 1 + 3 i 1 + i-2-4 i 1-i 1 + 3 i 4 + i-3 . There are a couple of ways to ﬁnd a basis for each eigenspace; consider how you might use the rref command (as you would on paper) or investigate the options of the eig command. Record the eigenvalues as well as a basis for each eigenspace in your diary ﬁle. (b) Is A diagonable? Why or why not? Record your answer in your diary ﬁle. 2...
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a9 - A = 1-i 3 i-2-1-3 i 4 i-4 i-4 i 1-i 1 3 i-1 i-2-4 i...

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