Solved: (i) Determine if the following matrices are positive definite and, if so, (ii)

Chapter 9, Problem 9

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(i) Determine if the following matrices are positive definite and, if so, (ii) construct an orthogonal matrix Q for which Q'AQ = D, where D is a diagonal matrix. a. A = 2 1 1 2 ' 2 0 c. A = 0 2 1 0 1 0 2 b. A - d. A = 1 2 2 1 1 1 1 1 1 0 1 0 1

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