ead your 12. Let A5 be the matrix [2 2 -2 51-3 15-3 Ire notes and do A5 = (a) Use the eigenvalues of A5 to show that A5 is nilpotent. (b) Determine the smallest positive exponent k such that A5k = 0. 3. (a) Determine which of the matrices A1, ..., A4 from Questions 2.2.1 and H1 are (b) For each matrix in (a) that is nilpotent, determine the smallest positive expon natok-0
ead your 12. Let A5 be the matrix [2 2 -2 51-3 15-3 Ire notes and do A5 = (a) Use the eigenvalues of A5 to show that A5 is nilpotent. (b) Determine the smallest positive exponent k such that A5k = 0. 3. (a) Determine which of the matrices A1, ..., A4 from Questions 2.2.1 and H1 are (b) For each matrix in (a) that is nilpotent, determine the smallest positive expon natok-0
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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