The matrix -4 6 A -5 -7 -6 6 7 as eigenvalues-5, 1, and 2. Find its eigenvectors. he eigenvalue-5 has associated eigenvector The eigenvalue 1 has associated eigenvector The eigenvalue 2 has associated eigenvector

-5 -6 -6- - The matrix A -3 -2 -7 has an eigenvalue X = -4. 2 1 3 Find an eigenvector for this eigenvalue. Try to solve the following problem WITHOUT computing all eigenvalues. 7 -4 -10 The matrix B = 7 -8 -2 has an eigenvector i -2 3 -3 -2 Find the eigenvalue for this eigenvector.

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3 Let A = 4 -3 (a) Find the eigenvalues of and the corresponding eigenvectors for the matrix A. (b) Find an matrix P such that t P" AP diagonalizes A.

The matrix has eigenvalues −4, 1, and 4. Find its eigenvectors. The eigenvalue −4 has associated eigenvector The eigenvalue 1 has associated eigenvector The eigenvalue 4 has associated eigenvector I A || 4 -6 -3 0 6 5 0 -10 -9 -

Find eigenvalues and eigenvectors for the matrix The smaller eigenvalue The larger eigenvalue has an eigenvector has an eigenvector 6 1 5