Determine the values of a and b such that the eigenvalues of the given matrix are 9, -3, and -12. -7 7 a -10 4 b-1 -4 1 a=-2, b=-5 O a=2, b=5 O a=5, b=2 O a=-5, b=-2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 20CM
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Determine the values of a and b such that the eigenvalues of the given matrix are 9, -3, and -12.
-7 7
a
-10
4
b-1
-4 1
a=-2, b=-5
O a=2, b=5
O a=5, b=2
a=-5, b=-2
Transcribed Image Text:Determine the values of a and b such that the eigenvalues of the given matrix are 9, -3, and -12. -7 7 a -10 4 b-1 -4 1 a=-2, b=-5 O a=2, b=5 O a=5, b=2 a=-5, b=-2
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