Let x be a unit vector in n . Partition x as Let Prove that Q is orthogonal. (This

Chapter 5, Problem 5.1.34

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Let x be a unit vector in n . Partition x as Let Prove that Q is orthogonal. (This procedure gives a quick method for finding an orthonormal basis for n Q x1 yT y I a 1 1 x1 b yyT x x1 x2 o xn c x1 y d A1AT BT2B A B n n with a prescribed first vector x, a construction that is frequently useful in applications.) 35.

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