Select an Answer 1. -1 1 A = -2 0 ,v = 7 -6 1 -1 Select an Answer 2. 7 -2 12 -1 A = -8 1 -12 U = -4 2 -9 1 Select an Answer v 3. 6. A = 8 7 12 ,V = 4 -4 -6 -11 1 LO

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A: Proceed as shown

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Q: Show that if A is a symmetric 2 × 2 matrix, then A has a real eigenvalues

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Q: 3 8 8 -1

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A: Please check step 2 for the solution.!

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Q: Determine if U = ? V -- H 5 4 CT is an eigenvector of the matrix A = 4 0 0 -18 5 24 0 12

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A: Solution of the problem as follows

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Q: Find all eigenvalues of the matrix 5 -6 -6 -1 4 2 3 -6-4 A =

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Q: use Equation in the picture to verify that λ and v are an eigenvalue/eigenvector pair for the given…

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