1. Consider the matrix A= (c) Find a diagonalization of A. That is, find an invertible...
1. Consider the matrix (a) Find the characteristic polynomial and eigenvalues of A (b) Find a basis for the eigenspace corresponding to each eigenvalue of A. (c) Find a diagonalization of A. That is, find an invertible matrix P and a diagonal matrix such that A - POP! (d) Use your diagonalization of A to compute A'. Simplify your answer.
I 5.3: Diagonalization Find the diagonal matrix D and invertible matrix P such that A- PDp-1 if possible. If it is not possibl which eigenspace(s) are to blame. e, eosplain A-1 2 1 3 -1 A 1 1 1 5 0 3 A- 0 2 0 し406 5.3: Diagonalization Find the diagonal matrix D and invertible matrix P such that A- PDp-1 if possible. If it is not possibl which eigenspace(s) are to blame. e, eosplain A-1 2 1 3...
(1 point) Suppose A = - (-11, ] Find an invertible matrix P and a diagonal matrix D so that A = PDP-1. Use your answer to find an expression for A6 in terms of P, a power of D, and P-1 in that order. A6 =
(1 point) Suppose 11-8 12 -9 A: Find an invertible matrix P and a diagonal matrix D so that A PDP1.Use your answer to find an expression for A7 in terms of P, a power of D, and P-1 in that order.
Answer 7,8,9 1-11-1)--[-13.-(41-44)--:-- 3 1 0 0 -1 0 5 4 2-3 0 0 0 6. Consider the matrix A, above. Use diagonalization to evaluate A. 7. Consider the matrix B, above. Find a diagonal matrix D, and invertible matrix P, such that BPDP-1 8. Consider the matrix C, above. Find a diagonal matrix D, and invertible matrix P, such that C = PDP-1. If this is not possible, thus the matrix is not diagonalizable, explain why. 9. Consider the...
1-11 23 )--[-!?). - (111) DE 1 0 0 4 1 - 4 4 0-3 0 0 0 3 0 0 -1 0 5 4 2-3 E = 6. Consider the matrix A, above. Use diagonalization to evaluate A. 7. Consider the matrix B, above. Find a diagonal matrix D, and invertible matrix P, such that B = PDP- 8. Consider the matrix C, above. Find a diagonal matrix D, and invertible matrix P, such that C = PDP-!. If...
A. B. (1 pt) 1 0 Let/ = 184 Find an invertible matrix P and a diagonal matrix D such that PDPA D= (1 pt) 1 5 -15 LetA=10-1 6 0-1 4 Find an invertible matrix P and a diagonal matrix D such that D = p- D= (1 pt) 1 0 Let/ = 184 Find an invertible matrix P and a diagonal matrix D such that PDPA D= (1 pt) 1 5 -15 LetA=10-1 6 0-1 4 Find an...
Diagonalise the matrix A that is, find a diagonal matrix D and an invertible matrix P such that D = P-IAP Specify a (2 × 2) matrix P which diagonalizes A. P-1 Specify a (2 x 2) diagonal matrix D such that DPAP (you should be able to write down D without performing inversion and matrix multiplication): D-
Diagonzalize the matrix A. if possible. That is, find an invertible matrix P and 1 3 3 Diagonalize the matrix A= - 3 - 5 -3 3 3 a diagonal matrix D such that A = PDP-1. 1
(1 point) Let A 12-5 Find an invertible matrix P and a diagonal matrix D such that D P- AP -24 12 5 D=