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.
Using some properties of matrix I solve the problem .
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