Suppose that A = PDP-1, where P = A¹ = 100 -1 1 -1 0 -1 0 Use the diagonalization of A to compute A¹. 000 30 and D= 30 020 0 0 1

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 32CM: Prove that if A is similar to B and A is diagonalizable, then B is diagonalizable.
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Suppose that A = PDP-1, where
P =
A¹ =
100
-1 1 -1
0 -1 0
Use the diagonalization of A to compute A¹.
000
30
and
D=
300
020
0 0 1
Transcribed Image Text:Suppose that A = PDP-1, where P = A¹ = 100 -1 1 -1 0 -1 0 Use the diagonalization of A to compute A¹. 000 30 and D= 300 020 0 0 1
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