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2. (REQUIRED) Consider the matrix A = 1 1 5 1 5 1 5 1 1 The matrix has eigenvalues of -4, 4, and 7. The 2 2 correspondin
Posted: Thu May 12, 2022 6:42 am
by answerhappygod
- 2 Required Consider The Matrix A 1 1 5 1 5 1 5 1 1 The Matrix Has Eigenvalues Of 4 4 And 7 The 2 2 Correspondin 1 (104.57 KiB) Viewed 24 times
2. (REQUIRED) Consider the matrix A = 1 1 5 1 5 1 5 1 1 The matrix has eigenvalues of -4, 4, and 7. The 2 2 corresponding eigenvectors are X(1=-4) HI 1 -2 and X(1=7) - 2 X(1=4) 1 (a) (2 points) Use this information to orthogonally diagonalize A. Arrange your eigenvalues in order from greatest to least in magnitude. Since 4 and -4 are tied, go ahead and use 4 first. (b) (6 points) Compute the spectral decomposition of A. That is, find three rank-1 matrices that sum up to A.