Suppose that A= det A-XI4 = 0. 42 0 4 02 -1 0 0033 04 0 7 . Find the eigenvalues of A, i.e. the A which satisfies

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 76E: Define T:P2P2 by T(a0+a1x+a2x2)=(2a0+a1a2)+(a1+2a2)xa2x2. Find the eigenvalues and the eigenvectors...
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refer to image below to find all values of matrix

Suppose that A=
det| A - XI4 = 0.
=
1₂ =
A3:
X4
=
4 2
02
00
||
0 4
The eigenvalues of A is listed as follows in order from biggest to smallest:
X₁
0 4
-1 0
3
3
0
7
.
Find the eigenvalues of A, i.e. the A which satisfies
Transcribed Image Text:Suppose that A= det| A - XI4 = 0. = 1₂ = A3: X4 = 4 2 02 00 || 0 4 The eigenvalues of A is listed as follows in order from biggest to smallest: X₁ 0 4 -1 0 3 3 0 7 . Find the eigenvalues of A, i.e. the A which satisfies
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