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Compute A TA and AAT , and their eigenvalues and unit eigenvectors, for A = " 1 1 0 0 1

Chapter 6, Problem 6.3.5

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QUESTION:

Compute A TA and AAT , and their eigenvalues and unit eigenvectors, for A = " 1 1 0 0 1 1# . Multiply the three matrices UV T to recover A.

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QUESTION:

Compute A TA and AAT , and their eigenvalues and unit eigenvectors, for A = " 1 1 0 0 1 1# . Multiply the three matrices UV T to recover A.

ANSWER:

Step 1 of 7

The matrix is,

1) Compute the matrix ,

                                       

Find the eigenvalues of matrix,

                                       

Equate the terms,

                                       

                                       

 

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