Prove that every 2 x 2 orthogonal matrix A over R can be written in one...

 

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Prove that every 2 x 2 orthogonal matrix A over R can be written in one of the forms sin 0 9). ( depending on whether A has determinant 1 or -1. - sin cos cos - sin cos sin o). -cos 0 Prove that every 2 x 2 orthogonal matrix A over R can be written in one of the forms sin 0 9). ( depending on whether A has determinant 1 or -1. - sin cos cos - sin cos sin o). -cos 0

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To prove this we consider an arbitrary 2x2 orthogonal matrix A over Since A is orthogonal its column... View the full answer