Q2: If 1 0 0 -6 A 1 20 -3 5 2] Show that bases for the eigenspaces are 8 # - 8 λ = 1: P₁ = 1; λ = 2: P₂ -6 = 10

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.5: Eigenvalues And Eigenvectors
Problem 6E
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Q2: If
1 0 0
-CH
A 1 20
L-3
-3 5 2]
Show that bases for the eigenspaces are
1
8
1
-
8
1
λ = 1: P₁ =
1; λ = 2: P₂
=
-6
0
Transcribed Image Text:Q2: If 1 0 0 -CH A 1 20 L-3 -3 5 2] Show that bases for the eigenspaces are 1 8 1 - 8 1 λ = 1: P₁ = 1; λ = 2: P₂ = -6 0
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