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
(31 20 3 3 5. Diagonalize the matrix A = -3-5-3 3 3 a diagonal matrix D such that A = PDP-1. if possible. That is, find an invertible matrix P and
(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...
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
مل 3 (1 point) Suppose that a 2 x 2 matrix A has an eigenvalue 3 with corresponding eigenvector and an eigenvalue -1 with corresponding eigenvector Find an invertible matrix P and a diagonal matrix D so that A = PDP-1. Enter your answer as an equation of the form A = PDP-1. You must enter a number in every answer blank for the answer evaluator to work properly. 1-1
Please refer to illustration for question. Diagonalize the matrix A, if possible. That is, find an invertible matrix Pand a diagonal matrix D such that A = PDP-1. A = -11 0 6 3 -5 -3 -91 0 4 12 A = 1 LO 0 0 2 0 0 2 0 0 0 9 A= 9 0 -16 0 0 0 16 9 4 1 0 0
4. Consider the following matrix [1 0 -27 A=000 L-2 0 4] (a) (3 points) Find the characteristic polynomial of A. (b) (4 points) Find the eigenvalues of A. Give the algebraic multiplicity of each eigenvalue (c) (8 points) Find the eigenvectors corresponding to the eigenvalues found in part (b). (d) (4 points) Give a diagonal matrix D and an invertible matrix P such that A = PDP-1 (e) (6 points) Compute P-and verify that A= PDP- (show your steps).
3 seperate questions multiple choice Determine which of the following matrices are in RREF. ſi 0 0 27 i) 0 2 0 3 0 1 1 4 ſi 0 1 0] i) 0 1 1 0 0 0 0 1 [1 0 -1 2 ii) 0 1 07 0 o [1 0 0 2 iv) 0 1 0 1 0 0 1 0 0 0 1 iv only ii and iii ii and iv i and ii For the given...
(1 point) Diagonalize the matrix 8 8 5 A= 7 7 -7 0 0 3 Namely, find an invertible matrix P and a diagonal matrix D such that P-1AP = D. P= O 0 D = 0 0 0 0
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...