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4. Let A = [-5 -5] [5 -5] a. Find the eigenvalues and eigenvectors for A....

4. Let A = [-5 -5]

[5 -5]

a. Find the eigenvalues and eigenvectors for A.

b. Find an invertible matrix P and a matrix C of the form [a -b] such that A=PCP-1.

[b a]

c. For the transformation given by T(x) = Ax find the scaling factor and the angle of rotation.

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