Exercise 4 Let A be the matrix '-2 3 1' A = 2 -1 2 0 3 a) Find the characteristic polynomial of A. b) Find the (real or complex) eigenvalues of A. c) For each eigenvalue A of A, find the eigenspace...

Exercise 4<br>Let A be the matrix<br>'-2 3<br>1'<br>A = 2 -1 2<br>0 3<br>a) Find the characteristic polynomial of A.<br>b) Find the (real or complex) eigenvalues of A.<br>c) For each eigenvalue A of A, find the eigenspace E(A, A) C C.<br>d) Is A diagonalizable? If not justify. If it is diagonalizable, find matrices P and D with<br>P invertible and D diagonal such that A = PDP-1.<br>

Extracted text: Exercise 4 Let A be the matrix '-2 3 1' A = 2 -1 2 0 3 a) Find the characteristic polynomial of A. b) Find the (real or complex) eigenvalues of A. c) For each eigenvalue A of A, find the eigenspace E(A, A) C C. d) Is A diagonalizable? If not justify. If it is diagonalizable, find matrices P and D with P invertible and D diagonal such that A = PDP-1.

Jun 03, 2022

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Exercise 4 Let A be the matrix '-2 3 1' A = 2 -1 2 0 3 a) Find the characteristic polynomial of A. b) Find the (real or complex) eigenvalues of A. c) For each eigenvalue A of A, find the eigenspace...

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