In Exercises 15-18, find the values of k for which the matrix A is invertible. 15. A k-3 17. A = 3 <-2 k-2 16. A = 18. A = [12/22 k 0 33.

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Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 65CR: Determine all nn symmetric matrices that have 0 as their only eigenvalue.
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Solve #17 ple

In Exercises 15-18, find the values of k for which the matrix A is
invertible.
15. A =
Ik
1
17. A = 3
2
k-2
2
1
k 3 2
16. A =
k
2 k
1 2 0
18. A = k I
Transcribed Image Text:In Exercises 15-18, find the values of k for which the matrix A is invertible. 15. A = Ik 1 17. A = 3 2 k-2 2 1 k 3 2 16. A = k 2 k 1 2 0 18. A = k I
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