Question

prove that, if is an eigenvalue of a with r, then = 1.

Answer 1

Answer:

Step-by-step explanationLet A∈M4×4(R) be an orthogonal matrix with det(A)=−1. Prove that −1 is an eigenvalue of A.

I'm a bit lost. I know about all the basic orthogonal matrices' properties (including the ones about scalar product). I also know that orthogonal matrices' eigenvalues are ±1

Answer 2

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