2. Let A be the matrix shown below A= a.) (8 points) Find the matrix P...
Problem #9: Let 0 0 (a) Find a unitary matrix P that diagonalizes A (b) Find B - P-1AP using the (correct) answer from (a). Enter the diagonal entries of B, in order, into the answer box below. i.е., enter b11, b22, b33 (in that order). 0 0 0 0 0 0 0 0 из 6-0 Problem #9(a): | Select Problem #9(b) Problem #9: Let 0 0 (a) Find a unitary matrix P that diagonalizes A (b) Find B -...
Given the following matrix: (a) Show that matrix A is diagonalizable. (b) Find a matrix P that diagonalizes A.
someone please assist with this 11/11 Problem 10. (20 pts) a) Find a matrix P that diagonalizes 1-(- 1 b) Ise the result in part a) to evaluate 1
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-
D.30. For the matrix a. Find the eigenvalue(s) and the eigenvector(s). b. Is matrix A diagonalizable? If so, what is the matrix P that diagonalizes A? c. If matrix A is diagonalizable, find the diagonal matrix D that is associated with A by using D-P AP d. If matrix A is diagonalizable, find the diagonal matrix D that is associated with A directly from the eigenvalues found in part a.
Consider the following matrix A= -3 4 4 3 (a) (8 points) Diagonalize A. (b) (4 points) Using your result of part (a) compute A^20 . You must perform the multiplication to receive a single matrix as a result but you don’t have to simplify the high powers in the entries. Your result should look like A^20 = 5^b × B for some matrix B and power b.
(8 points) The transition matrix P for a Markov chain is shown below. Find the stable vector W for this Markov chain. Write the entries as whole numbers or fractions in lowest terms T0 0 0 1 P- 1 프 00 1 3 Wー (6 points) A certain television show airs weekly. Each time it airs, its ratings are categorized as "high," "average," or "low," and transitions between these categorizations each week behave like a Markov chain. If the ratings...
timeet No Fles 1:48:43 . 0-12 points LarLinAlg7 7.3047 01 Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that i Ap gives the proper dagenal form. (Enter each matrix in the farm [Irow 11. Irow 21. .J, where each row is a comma-separated list.) -60 12 6 12 A 12, -12 (P, PIAP) - Show My Work Rei What steps or reasoning did you use? Your work counts towards your scon You can submit show my work...
) Let A be the following matrix: 13 0 2 0 2 2 0 0 6 (a) Enter its characteristic equation below. Note you must use p as the parameter instead of , and you must enter your answer as a equation, with the equals sign. (b) Enter the eigenvalues of the matrix, including any repetition. For example 16,16,24. 5 (c) Find the eigenvectors, and then use Gram-Schmidt to find an orthonormal basis for each eigenvalue's eigenspace. Build an orthogonal...
Problem 2: Let 4 1 2 5 1-1 0 3 2 0 3 2 a) Find the eigenvalues, eigenspaces of the linear operators LB, Lo. b) Using part a), find a basis for R3 that diagonalizes the linear operators c) Write B- EDE- with D a diagonal matrix. d) Find the eigenvalues, eigenspaces, and generalized eigenspaces of LA Problem 2: Let 4 1 2 5 1-1 0 3 2 0 3 2 a) Find the eigenvalues, eigenspaces of the linear...