If A is a 3 x 3 real matrix with eigen values 1, 2, 3, then the matrix A satisfies 1. A³ – 6A²+11 A – 61 = 0 2. A3 - 6A2 – 11A + 61 = 0 3. A3 + 6A2 – 11A + 6l = 0 4. A2 + 6A2 – 61 = 0

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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If A is a 3 x 3 real matrix with eigen values 1, 2, 3,
then the matrix A satisfies
1. A³ – 6A² +11 A – 61 = 0
2. A3 - 6A2 – 11A + 61 = 0
A3 + 6A2 – 11A + 61 = 0
4. A2 + 6A2 – 61 = 0
3.
Transcribed Image Text:If A is a 3 x 3 real matrix with eigen values 1, 2, 3, then the matrix A satisfies 1. A³ – 6A² +11 A – 61 = 0 2. A3 - 6A2 – 11A + 61 = 0 A3 + 6A2 – 11A + 61 = 0 4. A2 + 6A2 – 61 = 0 3.
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