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Consider the following. 1 0 0 A = 5 1 601 List the eigenvalues of A and bases of the corresponding eigenspaces. (Repeated eigenvalues should
Consider the following. 1 0 0 A = 5 1 601 List the eigenvalues of A and bases of the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) O. Summary + smallest 1-value 1 = has eigenspace span has eigenspace span largest 1-value 13= has eigenspace span 1Determine whether A is diagonalizable. 0 Yes O No Find an invertible matrix P and a diagonal matrix D such that P'lAP = D. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a commaseparated list. If A is not diagonalizable, enter NO SOLUTION.) w ) Need Help? Hudll Consider the following. List the eigenvalues of A and bases of the corresponding eigenspaces. (Enter your answers from smallest to largest eigenvalue. Repeated eigenvalues should be repeatedly with the same eigenspaces.) . . 7 3 smallest eigenvalue 211 = :] has elgenspace span J1 I1 12 = :] has eigenspace span 4 has eigenspace span O. Summary + largest eigenvalue 14 = has eigenspace span Determine whether A is diagonalizable. O Yes O No Find an invertible matrix P and a diagonal matrix D such that PAP = D. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list. If A is not diagonalizable, enter NO SOLUTION.) (D, P) = Need Help? Read It Watch ItIn general, it is difficult to show that two matrices are similar. However, if two similar matrices are diagonalizable, the task becomes easier. In the exercise below, show that A and B are similar by showing that they are similar to the same diagonal matrix. A = 3 8] = - [ 2 : ] O. Summary + diagonal matrix for A diagonal matrix for B Find an invertible matrix P such that PAP = B. P = Need Help? Read It Watch It Master It
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