-2 1. Suppose G = -4 Determine the values of x for which det(G) = 0. -4 2 x + 4,

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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Please answer question #2 with details on how to do it.

Make handwriting legible please when writing out x,y,z etc. Thank you. 

(-2 1
1. Suppose G =
-4
Determine the values of x for which det(G) = 0.
-4 2 x + 4,
15
Given that the characteristic polynomial of this matrix is P(1) =
6.
2. Suppose that Z =
4
6.
13 –
- 2022 + 942 – 60, use the Cayley-Hamilton theorem to find Z¬1.
3. Suppose that K = (6 :).
Use the Cayley-Hamilton theorem to find K³.
Transcribed Image Text:(-2 1 1. Suppose G = -4 Determine the values of x for which det(G) = 0. -4 2 x + 4, 15 Given that the characteristic polynomial of this matrix is P(1) = 6. 2. Suppose that Z = 4 6. 13 – - 2022 + 942 – 60, use the Cayley-Hamilton theorem to find Z¬1. 3. Suppose that K = (6 :). Use the Cayley-Hamilton theorem to find K³.
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