6. Prove that the matrix A = -1 2 is diagonalizable, and find the corresponding diagonal matrix D and matrix S such tha A = SDS-1.

Elementary Linear Algebra (MindTap Course List)
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Chapter6: Linear Transformations
Section6.4: Transistion Matrices And Similarity
Problem 29E
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6. Prove that the matrix
1
A =
-1 2
is diagonalizable, and find the corresponding diagonal matrix D and matrix S such that
A = SDS-1.
Transcribed Image Text:6. Prove that the matrix 1 A = -1 2 is diagonalizable, and find the corresponding diagonal matrix D and matrix S such that A = SDS-1.
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