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OpenStudy (anonymous):
It can be proved that if A is 2 x 2 matrix with det(A)and such that the column vectors of A are orthogonal and have length 1, then multiplication by A is a rotation through some angle theta . Verify that A= [ -1/square root of2 -1/square rootof2 1/square root of2 -1/square rootof2] satisfies the stated conditions and find the angle of rotation
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