(7) Determine whether the following statement is always true or sometimes false; justify your answer. (a) Every eigenvalue of an orthogonal matrix has absolute value 1. (b) If A is an orthogonal...

(7) Determine whether the following statement is always true or sometimes false; justify your<br>answer.<br>(a) Every eigenvalue of an orthogonal matrix has absolute value 1.<br>(b) If A is an orthogonal matrix, then A? is orthogonal and (det(A))? = 1.<br>%3D<br>

Extracted text: (7) Determine whether the following statement is always true or sometimes false; justify your answer. (a) Every eigenvalue of an orthogonal matrix has absolute value 1. (b) If A is an orthogonal matrix, then A? is orthogonal and (det(A))? = 1. %3D

Jun 04, 2022

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(7) Determine whether the following statement is always true or sometimes false; justify your answer. (a) Every eigenvalue of an orthogonal matrix has absolute value 1. (b) If A is an orthogonal...

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