Question

Take a 2x2 matrix A which has eigenvalues 1 and -1. Determine if any of the...

Take a 2x2 matrix A which has eigenvalues 1 and -1.

Determine if any of the following is true.

(a) The matrix A2 is identity matrix.

(b) The matrix A2 also has eigenvalues 1 and -1.

Give reason(s) to support your answer. There will be no marks for yes or no as answer.

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Using some properties of matrix I solve the problem .

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