4. Given matrix 3 (-²1) 0 5 4 -2 -14 B = -12 (a) Find the eigenvalue(s) of B. (b) Find the eigenvalue(s) of B². (c) What conclusion can you make by comparing answers from part (a) and (b)?

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 20CM
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4. Given matrix
3 -1 -1
B = -12 0 5
-2 -1/
(a) Find the eigenvalue(s) of B.
(b) Find the eigenvalue(s) of B².
(c) What conclusion can you make by comparing answers from part (a) and (b)?
Transcribed Image Text:4. Given matrix 3 -1 -1 B = -12 0 5 -2 -1/ (a) Find the eigenvalue(s) of B. (b) Find the eigenvalue(s) of B². (c) What conclusion can you make by comparing answers from part (a) and (b)?
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