The matrix T has eigenvalues and eigenvectors:V1 =withA1 = 1-1• V2withA, =1• V3 =withA3 =1Give formulas for the following:(А) T"2(B) T" |0| =3(C) T"2+ |4 +3.(D) T"-4=

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Answered: The matrix T has eigenvalues and…

The matrix T has eigenvalues and eigenvectors: with A,-1. with A=- with A- Sive formulas for the following: (A) T" (B) T (C) T --1| (D) T"

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The matrix T has eigenvalues and eigenvectors:
V1 =
with
A1 = 1
-1
• V2
with
A, =
1
• V3 =
with
A3 =
1
Give formulas for the following:
(А) T"
2
(B) T" |0| =
3
(C) T"
2
+ |4 +
3.
(D) T"
-4
=

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