Let A = ? ?1 1 4 ?1 ?, find an orthogonal matrix T such that T ?1AT is a diagonal ??

1 ?1 ?1 4

4 4. (15 points) Let A = = -1 4 1 -1 -1 -1 1 -1 1 1 -1 4 -1 -1 4 find an orthogonal matrix T such that T-1 AT is a diagonal 2 matrix.

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Let A = ? ?1 1 4 ?1 ?, find an orthogonal matrix T such that T ?1AT is a diagonal ??

1 ?1 ?1 4 4
4. (15 points) Let A =
=
-1
4
1
-1
-1
-1
1
-1 1
1 -1
4 -1
-1 4
find an orthogonal matrix T such that T-1 AT is a diagonal
2

4 4. (15 points) Let A = = -1 4 1 -1 -1 -1 1 -1 1 1 -1 4 -1 -1 4 find an orthogonal matrix T such that T-1 AT is a diagonal 2 matrix.

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