Question: (a)Prove that an orthogonal 2 ( 2 matrix must have the form Where Is a unit vector. (b)Using part (a), show that every orthogonal 2

(a)Prove that an orthogonal 2 ( 2 matrix must have the form
(a)	Prove that an orthogonal 2 ( 2 matrix must have

Where

(a)	Prove that an orthogonal 2 ( 2 matrix must have

Is a unit vector.
(b)Using part (a), show that every orthogonal 2 ( 2 matrix is of the form

(a)	Prove that an orthogonal 2 ( 2 matrix must have

Where 0 ( ( ( 2 (.

(a)	Prove that an orthogonal 2 ( 2 matrix must have
(a)	Prove that an orthogonal 2 ( 2 matrix must have

or cos sin -sin cos | cos sin or cos | -cos R2 R2

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a Suppose that is an orthogonal matrix Then So a 2 b 2 1 and c 2 d 2 1 and thus both columns of Q ar... View full answer

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