Let TA: R3 R3 be defined by -> TA(x,y,z)=(x+3y-3z, 2x-5y+8z,2x-3y+62). Find the matrix A that represents...

    

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Let TA: R3 R3 be defined by -> TA(x,y,z)=(x+3y-3z, 2x-5y+8z,2x-3y+62). Find the matrix A that represents TA. Find all eigenvalues and corresponding eigenvectors for A. (Hint: Cofactor expansion along the first row is recommended to achieve an easily fac- tored characteristic polynomial!) Let TA: R3 R3 be defined by -> TA(x,y,z)=(x+3y-3z, 2x-5y+8z,2x-3y+62). Find the matrix A that represents TA. Find all eigenvalues and corresponding eigenvectors for A. (Hint: Cofactor expansion along the first row is recommended to achieve an easily fac- tored characteristic polynomial!)

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To find the matrix A that represents the linear transformation TA mathbbR3 to mathbbR3 described by ... View the full answer