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2. For each matrix or linear operator determine the following: • The characteristic polynomial f(t) The eigenvalues of the matrix . The dimension of each Eigenspace . If the matrix is diagonalizable, compute a basis for the diagonalization. (a) [3 2 11 A 0 1 1 1 2 0 (b) -1 (c)

2. For each matrix or linear operator determine the following: • The characteristic polynomial f(t) The eigenvalues of the matrix . The dimension of each Eigenspace . If the matrix is diagonalizable, compute a basis for the diagonalization. (a) [3 2 11 A 0 1 1 1 2 0 (b) -1 (c)

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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2. For each matrix or linear operator determine the following: .The characteristic polynomial f(t) . The eigenvalues of the matrix The dimension of each Eigenspace . If the matrix is diagonalizable, compute a basis for the diagonalization. (a) [3 2 11 A 0 1 1 2 0 [-13 -8 -4] 4 (b) (c) (d) B = 12 7 24 16 0 1 O OT 01 1 [11 11 110 101 0 0 1
Transcribed Image Text:2. For each matrix or linear operator determine the following: .The characteristic polynomial f(t) . The eigenvalues of the matrix The dimension of each Eigenspace . If the matrix is diagonalizable, compute a basis for the diagonalization. (a) [3 2 11 A 0 1 1 2 0 [-13 -8 -4] 4 (b) (c) (d) B = 12 7 24 16 0 1 O OT 01 1 [11 11 110 101 0 0 1
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