Determine the Jordan canonical form J of each of the following matrices A; give as well

Chapter 7, Problem 8

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QUESTION:

Determine the Jordan canonical form J of each of the following matrices A; give as well a matrix P so that J = P 1AP. a. A = 3 2 3 1 2 1 0 1 1 b. A = 3 1 2 1 1 2 0 0 2 c. A = 3 1 1 0 0 1 0 0 0 0 1 1 2 1 1 1 d. A = 0 1 1 2 3 1 1 3 1 0 2 1 2 2 1 4 e. A = 2 2 1 2 0 2 0 1 0 1 1 1 0 1 0 0

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QUESTION:

Determine the Jordan canonical form J of each of the following matrices A; give as well a matrix P so that J = P 1AP. a. A = 3 2 3 1 2 1 0 1 1 b. A = 3 1 2 1 1 2 0 0 2 c. A = 3 1 1 0 0 1 0 0 0 0 1 1 2 1 1 1 d. A = 0 1 1 2 3 1 1 3 1 0 2 1 2 2 1 4 e. A = 2 2 1 2 0 2 0 1 0 1 1 1 0 1 0 0

ANSWER:

Step 1 of 3

Given matrix is

Calculate the eigenvalues of ‘A’

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