(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 = -3 -1 6 -4 0 6 -2 -1 5 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= D= Is A diagonalizable over R? choose Be sure you can explain why or why...
A question about linear algebra If possible, find an invertible matrix PP such that A=PDP−1. If it is not possible, enter the identity matrix for P and the matrix A for D. (2 points) Let A- If possible, find an invertible matrix P such that A PDP . 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...
1 1 3 3 5. Diagonalize the matrix A = -3 -5 -3 if possible. That is, find an invertible matrix P and 3 3 a diagonal matrix D such that A = PDP-1 6. If u is an eigenvector of an invertible matrix A corresponding to , show that is also an eigenvector of A-!. What is the corresponding eigenvalue?
(1 point) Let -9 -1 10 A = -4 2 -7 -1 If possible, find an invertible matrix P so that D = P-AP is a diagonal matrix. If it is not possible, enter the identity matrix for Pand the matrix A for D. You must enter a number in every answer blank for the answer evaluator to work properly. P = D = Is A diagonalizable over R? diagonalizable Be sure you can explain why or why not.
is an eigenvalue invertible matrix with X as an eigenvalue. Show that of A-1. Suppose v ER is a nonzero column vector. Let A (a) Show that v is an eigenvector of A correspond zero column vector. Let A be the n xn matrix vvT. n eigenvector of A corresponding to eigenvalue = |v||2. lat O is an eigenvalue of multiplicity n - 1. (Hint: What is rank A?) (b) Show that 0 is an eigenvalue of
Help with question 6 please!! a diagonal matrix D such that A = PDP-1 6. If u is an eigenvector of an invertible matrix A corresponding to ), show that z is also an eigenvector of A-1. What is the corresponding eigenvalue? lu Drou that if 42 - IT is
(1 point) Suppose A is a 3 x 3 matrix with real entries that has a complex eigenvalue 2 - 5i with corresponding eigenvector 9+3i1 1 .Find another eigenvalue and 42 eigenvector for A. Eigenvalue Eigenvector-
(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.