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3 -6 -6 3 -6 and v = 1 Verify that 9 is an eigenvalue of A and v is an eigenvector. Then orthogonally diagonalize A. Let A = -6 -6 The number 9 is an eigenvalue of A with eigenvector (Type an exact answer, using radicals as needed.) The vector v = 1 is an eigenvector of A with eigenvalue - 9 . (Type an exact answer, using radicals as needed.) Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. Enter the matrices P and D below. (Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do not label the matrices.) 6.

3 -6 -6 3 -6 and v = 1 Verify that 9 is an eigenvalue of A and v is an eigenvector. Then orthogonally diagonalize A. Let A = -6 -6 The number 9 is an eigenvalue of A with eigenvector (Type an exact answer, using radicals as needed.) The vector v = 1 is an eigenvector of A with eigenvalue - 9 . (Type an exact answer, using radicals as needed.) Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. Enter the matrices P and D below. (Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do not label the matrices.) 6.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.2: Diagonalization
Problem 32E
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Please do only "Orthogonally diagonalize the​ matrix, giving an orthogonal matrix P and a diagonal matrix D. Enter the matrices P and D below."

3 -6 -6 Let A= -6 -6 | and v = . Verify that 9 is an eigenvalue of A and v is an eigenvector. Then orthogonally diagonalize A. - 6 -6 The number 9 is an eigenvalue of A with eigenvector (Type an exact answer, using radicals as needed.) 1 The vector v = 1 is an eigenvector of A with eigenvalue - 9 (Type an exact answer, using radicals as needed.) Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. Enter the matrices P and D below. (Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do not label the matrices.) 3. 3.
Transcribed Image Text:3 -6 -6 Let A= -6 -6 | and v = . Verify that 9 is an eigenvalue of A and v is an eigenvector. Then orthogonally diagonalize A. - 6 -6 The number 9 is an eigenvalue of A with eigenvector (Type an exact answer, using radicals as needed.) 1 The vector v = 1 is an eigenvector of A with eigenvalue - 9 (Type an exact answer, using radicals as needed.) Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. Enter the matrices P and D below. (Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do not label the matrices.) 3. 3.
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