11. For the following, (a) Find the characteristic equation of matrix A, (b) Find the eigenvalues of the matrix A. (c) Find a basis for each eigenspace of the matrix A. (d) Find the eigenvalues and bases for the eigenspaces of A+3I and A-. - 21 A = 1. -1 - 1 22

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11. For the following, (a) Find the characteristic equation of matrix A, (b) Find the eigenvalues
of the matrix A. (c) Find a basis for each eigenspace of the matrix A. (d) Find the eigenvalues
and bases for the eigenspaces of A+31 and A.
2
-1
A =
1.
hp
logi
Transcribed Image Text:11. For the following, (a) Find the characteristic equation of matrix A, (b) Find the eigenvalues of the matrix A. (c) Find a basis for each eigenspace of the matrix A. (d) Find the eigenvalues and bases for the eigenspaces of A+31 and A. 2 -1 A = 1. hp logi
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