For each matrix below, you are given one of the eigenvalues. Find a corresponding eigenvector for each eigenvalue: 3 1) A = 7 -2 -1 12 -7 and λ = 5. A corresponding eigenvector would be: 12 12 -10 -8+ 8i 2) B= -12+9i 3) C = -3 + 15i 1 + 14i -48 +36i -12 + 60i -40-25i -95-67i 53 + 45i 204 +82i 37 + 15i 88 + 45i -49-33i -180-50i 3-6i 3-6i and λ = 4-i. A corresponding eigenvector would be: 16-251] -129-9i 47 + 21i 110+66i -317-61i 190 + 49i -63-45i 616-32i -232-75i and λ = 1 + 2i. A corresponding eigenvector would be:

For each matrix below, you are given one of the eigenvalues. Find a corresponding eigenvector for each eigenvalue: 3 1) A = 7 -2 -1 12 -7 and λ = 5. A corresponding eigenvector would be: 12 12 -10 -8+ 8i 2) B= -12+9i 3) C = -3 + 15i 1 + 14i -48 +36i -12 + 60i -40-25i -95-67i 53 + 45i 204 +82i 37 + 15i 88 + 45i -49-33i -180-50i 3-6i 3-6i and λ = 4-i. A corresponding eigenvector would be: 16-251] -129-9i 47 + 21i 110+66i -317-61i 190 + 49i -63-45i 616-32i -232-75i and λ = 1 + 2i. A corresponding eigenvector would be:

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.1: Introduction To Eigenvalues And Eigenvectors

Problem 26EQ

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