Solved: A linear operator L: V ....... V. where V is an 1/- dimensional Eucl idean

Chapter 7, Problem 12

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A linear operator L: V ....... V. where V is an 1/- dimensional Eucl idean space. is called orthogonal if (L(x). L{y = (x. y). Let S be an orthonormal basis for V. and let the matrix A represent the orthogonal linear operator L with respect to S. ]'rove that A is an orthogonal matrix.

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