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Q2. Let T be a linear operator on R3 which is represented in the standard ordered basis by the matrix -9 4 41 -8 3 4 1-16 8 7 Prove that T is diagonalizable by exhibiting a basis of R3, each vector of which is a characteristic vector of T.

Q2. Let T be a linear operator on R3 which is represented in the standard ordered basis by the matrix -9 4 41 -8 3 4 1-16 8 7 Prove that T is diagonalizable by exhibiting a basis of R3, each vector of which is a characteristic vector of T.

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Q2. Let T be a linear operator on R3 which is represented in the standard ordered basis by the matrix -9 4 4 -8 3 4 -16 8 7 Prove that T is diagonalizable by exhibiting a basis of R3, each vector of which is a characteristic vector of T.
Transcribed Image Text:Q2. Let T be a linear operator on R3 which is represented in the standard ordered basis by the matrix -9 4 4 -8 3 4 -16 8 7 Prove that T is diagonalizable by exhibiting a basis of R3, each vector of which is a characteristic vector of T.
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