Answered: Find a 2x2 matrix A that has…

Find a 2x2 matrix A that has eigenvalues 0 and 1 and corresponding eigenvectors v1=(1, 2) and v2=(2, -1). Then prove that A^2019=A

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter10: Matrices

Section10.CR: Chapter 10 Review

Problem 62CR

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Find a 2x2 matrix A that has eigenvalues 0 and 1 and corresponding eigenvectors v1=(1, 2) and v2=(2, -1). Then prove that A^2019=A

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Find a 2x2 matrix A that has eigenvalues ​​0 and 1 and corresponding eigenvectors v1=(1, 2) and v2=(2, -1). Then prove that A^2019=A

Find a 2x2 matrix A that has eigenvalues 0 and 1 and corresponding eigenvectors v1=(1, 2) and v2=(2, -1). Then prove that A^2019=A