In each of Problems 1 through 10, find all eigenvalues and eigenvectors of the given matrix.
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- Problem Eight Diagonalize this matrix, whose eigenvalues are 2 and 8. Note: You only need to find P and D. Adjust the eigenvectors (by scaling) so that they have a 1 in the lowest nonzero position. [4 2 21 A = 2 4 2 2 2 4 Solution:arrow_forwardAnswer the following. Show the solution. 2 -2 -4 A = |-2 1 4 51 1. Eigenvalues of matrix A. 2. Determinant of matrix A. 3. Inverse of matrix A. 4. Transpose of matrix Aarrow_forward
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