(1 point) Suppose 11-8 12 -9 A: Find an invertible matrix P and a diagonal matrix...
(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 =
Next Problem (1 point) Suppose 7 A 8 -5 Find an invertible matrix P and a diagonal matrix D so that A = PDP-1. Use your answer to find an expression for AⓇ in terms of P, a power of D, and P-1 in that order. -] 1/2 1 -1 0 -2 2 A6 1 1 0 3 2 -1 Note: In order to get credit for this problem all answers must be correct.
(1 point) Let 3 -4 A = -4 -1 -4 -2 -2 If possible, find an invertible matrix P so that D = P-1 AP is a diagonal matrix. If it is not possible, enter the identity matrix for P and the matrix A for D. You must enter a number in every answer blank for the answer evaluator to work properly. P= II II D= Be sure you can explain why or why Is A diagonalizable over R? diagonalizable...
(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=
Question 3 (1 point) Find an invertible matrix P and a diagonal matrix D that show that matrix 8 -18 A= is diagonalizable. (Matrix A is the same as in the previous 3 - 7 problem.) -1 1 P= 1 1 1]. D=11_, (21]. D= [ ] 1 P= 1 O None of the options diplayed. P-[1.]. D-[ :D
Find an invertible matrix P and a diagonal matrix D such that P- AP-D -9 0 -18 -18 00 0 1 D D O O 0000| D=
Question 12 [10 points] Find an invertible matrix P and a diagonal matrix D such that P-lAP=D. | 9 6 -2 A= -20 -13 4 | -24 -12 3 Tooo oool P= 0 0 0 D = 0 0 0 0 0 0 | 0 0 0 Official Time: 19:51:55 CS Scanned with CamScanner
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-
37 40 -120 1 point) Let 5 -815Find an invertible matrix P and a diagonal matrix D 10 10 -33 such that D P-1AP
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...