11. Let A= Let A={{ Find a matrix P such that P-1AP is a diagonal matrix.
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-
Find a matrix P such that P-1AP is a diagonal matrix. Let A =
Problem 6. Let P be an n × n permutation matrix with 1's on the anti-diagonal. Find det(P), Hint: How many exchange permutations are needed to implement P?
Problem 6. Let P be an n × n permutation matrix with 1's on the anti-diagonal. Find det(P), Hint: How many exchange permutations are needed to implement P?
For the matrix A, find (if possible) a nonsingular matrix P such that p-AP is diagonal. (if not possible, enter IMPOSSIBLE.) 2 - 2 3 A= 0 3-2 0-1 2 PE 11 Verify that p-TAP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP - 11
For the matrix A, find (if possible) a nonsingular matrix P such that p-tap is diagonal. (If not possible, enter IMPOSSIBLE.) А 10 0 53-1 -30 3 P= 11 Verify that p-lAP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP = .
4. (-12 points) DETAILS LARLINALG8 7.2.009. For the matrix A, find (if possible) a nonsingular matrix P such that p-1AP is diagonal. (If not possible, enter IMPOSSIBLE.) -2 -2 A 0 3-2 0 -1 PE 11 Verify that p-IAP is a diagonal matrix with the eigenvalues on the main diagonal. P-AP Need Help? Read it Talk to a Tutor Submit Answer 5. [-12 Points] DETAILS LARLINALG8 7.2.013. For the matrix A, find (if possible) a nonsingular matrix P such that...
(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=
(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 =
For a matrix A 3 5 (a) Find a nonsingular matrix Q let D-AQ be a diagonal matrix b)Find the inverse of A 氿ㄧ '11.ril. IfA+小1, find the maximal and minin al values of毗孵. 2
For a matrix A 3 5 (a) Find a nonsingular matrix Q let D-AQ be a diagonal matrix b)Find the inverse of A 氿ㄧ '11.ril. IfA+小1, find the maximal and minin al values of毗孵. 2