To practice the methods of this section, do not use an eigenvector routine from your matrix program.
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To practice the methods of this section, do not use an eigenvector routine from your matrix program. Instead, use the program to find the eigenvalues, and, for each eigenvalue λ, find an orthonormal basis for Nul(A – λI), as in Examples 2 and 3.
Data From Section 7.1 Example 2 and 3
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EXAMPLE 2 If possible, diagonalize the matrix A = 6-2 -1 6-1 -2 -1 -1 5
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Let A 8 2 2 6 9 U 2 2 6 8 2 6 9 2 8 6 9 The eigenvalues of A are 6 30 30 and 15 For 6 one 6 6 2...View the full answer
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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