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#2: Consider the following matrix A and column vectors K1, K2, and K3. 8 99 A 98 9 9 9 8 K₁ S K2 K3 Verify that K1, K2, and K3, are eigenvectors of the matrix A, and find the corresponding eigenvalues. Then use these eigenvectors, in the given order, along with the Gram-Schmidt process (where needed) to construct an orthogonal matrix P from these eigenvectors. (a) Enter the eigenvalues corresponding to K1, K2, and K3 (in that order) into the answer box below, separated by commas. (b) Enter the values in the first row of the matrix P into the answer box below, separated by commas.

#2: Consider the following matrix A and column vectors K1, K2, and K3. 8 99 A 98 9 9 9 8 K₁ S K2 K3 Verify that K1, K2, and K3, are eigenvectors of the matrix A, and find the corresponding eigenvalues. Then use these eigenvectors, in the given order, along with the Gram-Schmidt process (where needed) to construct an orthogonal matrix P from these eigenvectors. (a) Enter the eigenvalues corresponding to K1, K2, and K3 (in that order) into the answer box below, separated by commas. (b) Enter the values in the first row of the matrix P into the answer box below, separated by commas.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.5: Iterative Methods For Computing Eigenvalues
Problem 6EQ
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n #2: Consider the following matrix A and column vectors K1, K2, and K3. 8 9 9 A = 9 8 9 9 9 8 = K2 -5, K3 56-6-8 Verify that K1, K2, and K3, are eigenvectors of the matrix A, and find the corresponding eigenvalues. Then use these eigenvectors, in the given order, along with the Gram-Schmidt process (where needed) to construct an orthogonal matrix P from these eigenvectors. (a) Enter the eigenvalues corresponding to K1, K2, and K3 (in that order) into the answer box below, separated by commas. (b) Enter the values in the first row of the matrix P into the answer box below, separated by commas.
Transcribed Image Text:n #2: Consider the following matrix A and column vectors K1, K2, and K3. 8 9 9 A = 9 8 9 9 9 8 = K2 -5, K3 56-6-8 Verify that K1, K2, and K3, are eigenvectors of the matrix A, and find the corresponding eigenvalues. Then use these eigenvectors, in the given order, along with the Gram-Schmidt process (where needed) to construct an orthogonal matrix P from these eigenvectors. (a) Enter the eigenvalues corresponding to K1, K2, and K3 (in that order) into the answer box below, separated by commas. (b) Enter the values in the first row of the matrix P into the answer box below, separated by commas.
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