The matrix T has eigenvalues and eigenvectors:• v1 =1withA1 = 1-11• V2 =2with1• V3 =withGive formulas for the following:(-2/5)^n(А) Т" |22(-2/5)^n|(-2/5)^n(В) Т"3(1/3)^n(С) Т"24| +3(D) T"-4

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The matrix T has eigenvalues and eigenvectors: • v = 1 with A =1. -1 1 with = 0. • V3 with A- Sive formulas for the following (-25)*n (A) T" 2(-2/5)n (-2/5)*n (B) T" 3(1/3)'n (C) T" (D) T"

The matrix T has eigenvalues and eigenvectors: • v = 1 with A =1. -1 1 with = 0. • V3 with A- Sive formulas for the following (-25)n (A) T" 2(-2/5)n (-2/5)n (B) T" 3(1/3)'n (C) T" (D) T"

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.4: Orthogonal Diagonalization Of Symmetric Matrices

Problem 16EQ

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Question

The matrix T has eigenvalues and eigenvectors:
• v1 =
1
with
A1 = 1
-1
1
• V2 =
2
with
1
• V3 =
with
Give formulas for the following:
(-2/5)^n
(А) Т" |2
2(-2/5)^n
|(-2/5)^n
(В) Т"
3(1/3)^n
(С) Т"
2
4| +
3
(D) T"
-4

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