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The matrix -5 k A [-3 2 has two distinct real eigenvalues if and only if k [: -7 -1 A 4 -11 has


 

The matrix -5 k A [-3 2 has two distinct real eigenvalues if and only if k [: -7 -1 A 4 -11 has an eigenvalue A of multiplicity 2 with corresponding eigenvector v. Find A and v. has an eigenvector v = 4 2 9 A = -1 1 -2 -2 -7 has eigenvalues -3, 1, and 2. Find its eigenvectors.

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