59. Orthogonally Diagonalizable Matrices A matrix A is orthogonally diagonalizable if there is an orthogonal ma- trix P that diagonalizes it. Show that the matrix A - (: }) [4 21 2 is orthogonally diagonalizable. HINT: Symmetric matrices have orthogonal eigenvectors.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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59. Orthogonally Diagonalizable Matrices A matrix A is
orthogonally diagonalizable if there is an orthogonal ma-
trix P that diagonalizes it. Show that the matrix
A - (: })
[4 21
2
is orthogonally diagonalizable. HINT: Symmetric matrices
have orthogonal eigenvectors.
Transcribed Image Text:59. Orthogonally Diagonalizable Matrices A matrix A is orthogonally diagonalizable if there is an orthogonal ma- trix P that diagonalizes it. Show that the matrix A - (: }) [4 21 2 is orthogonally diagonalizable. HINT: Symmetric matrices have orthogonal eigenvectors.
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