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Let TA: R3 R3 be multiplication by the orthogonal matrix A = 2 3 3 3 1323 23 3 2313 2313213 1 2 3

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Let TA: R3 R3 be multiplication by the orthogonal matrix A = 2 3 3 3 1323 23 3 2313 2313213 1 2 3 Find TA(x) for the vector x = 3 7 TA(x) = = ? ? ? 212 Using the Euclidean inner product on R3, verify that ||TA(x)|||||| ||TA(x)||= = =

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