Question: (a) Verify that the matrix Is orthogonal. (b) Prove that if A is an orthogonal 2 ( 2 matrix, then there exists a real number

(a) Verify that the matrix

(a) Verify that the matrix Is orthogonal.(b) Prove that if

Is orthogonal.
(b) Prove that if A is an orthogonal 2 ( 2 matrix, then there exists a real number ( such that either

(a) Verify that the matrix Is orthogonal.(b) Prove that if

Or

(a) Verify that the matrix Is orthogonal.(b) Prove that if

cos sin -sin cos -[sin cos cos sn sin -cos

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