7) (a)Prove that the determinant of every orthogonal matrix is 1 or -1

1.	7) (a)Prove that the determinant of every orthogonal matrix is 1 or -1. (b)If , be an eigen value ofa real orthogonal matrix A, prove that is also an eigen value of A". (c)IF V = ztan-1prove0.az25+5+5
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7) (a)Prove that the determinant of every orthogonal matrix is 1 or -1. (b)If , be an eigen value ofa real orthogonal matrix A, prove that is also an eigen value of A". (c)IF V = ztan-1prove0.az25+5+5

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7) (a)Prove that the determinant of every orthogonal matrix is 1 or -1. (b)If , be an eigen value ofa real orthogonal matrix A, prove that is also an eigen value of A". (c)IF V = ztan-1prove0.az25+5+5​

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7) (a)Prove that the determinant of every orthogonal matrix is 1 or -1. (b)If , be an eigen value ofa real orthogonal matrix A, prove that is also an eigen value of A". (c)IF V = ztan-1prove0.az25+5+5