6-li -12i 12i 6 + li 2+6i -6- 2i The characteristic polynomial of A is (x+ Let A = The eigenvalues of A are λ1 = + i, λ2 = (Enter positive integers for 1 and 22.) U = | 3 ( λ1 Determine an unitary matrix U such that A = U|| 0 0 3 -2 - 6i -6-2i 15 + + + i and 23 = + i) 3( + + )(x²_ at x+ 0 0 12 0 0 13. (Remember a non-zero scalar multiple of an eigenvector of A is also an eigenvector of A.)

6-li -12i 12i 6 + li 2+6i -6- 2i The characteristic polynomial of A is (x+ Let A = The eigenvalues of A are λ1 = + i, λ2 = (Enter positive integers for 1 and 22.) U = | 3 ( λ1 Determine an unitary matrix U such that A = U|| 0 0 3 -2 - 6i -6-2i 15 + + + i and 23 = + i) 3( + + )(x²_ at x+ 0 0 12 0 0 13. (Remember a non-zero scalar multiple of an eigenvector of A is also an eigenvector of A.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section: Chapter Questions

Problem 9RQ

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