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Suppose A is symmetric positive definite and Q is an orthogonal matrix. True or false

Chapter 6, Problem 6.2.15

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QUESTION:

Suppose A is symmetric positive definite and Q is an orthogonal matrix. True or false: (a) Q TAQ is a diagonal matrix. (b) Q TAQ is symmetric positive definite. (c) Q TAQ has the same eigenvalues as A. (d) e A is symmetric positive definite

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QUESTION:

Suppose A is symmetric positive definite and Q is an orthogonal matrix. True or false: (a) Q TAQ is a diagonal matrix. (b) Q TAQ is symmetric positive definite. (c) Q TAQ has the same eigenvalues as A. (d) e A is symmetric positive definite

ANSWER:

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Diagonalization: The Diagonalization can be defined as a process in which any matrix has to go through various elementary operations on its rows and columns to preview the matrix in diagonal format known as diagonal matrix.

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