The matrix -14 9. A = -9 -5 9. -18 13 has 1 = -5 as an eigenvalue with multiplicity 2 and 1 = 4 as an eigenvalue with multiplicity 1. Give one associated eigenvector for each of the eigenvalues. The eigenvalue -5 has associated eigenvector The eigenvalue 4 has associated eigenvector

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Q: 2.

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Q: Solve for all the eigenvectors.

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A: λ is an eigen value of a matrix A if  detA-λI=0where I is identity matrix of order same as of A.

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Q: 200] 0 45 0 43 A =

A: A=200045043 has eigen values -1,2,8

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A: Introduction :