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Suppose A is an n by n matrix that is diagonalized by P. Find a matrix that diagonalizes AT
Suppose A is an n by n matrix that is diagonalized by P. Find a matrix that diagonalizes A^T
QUESTION) two matrix A,B can be simultaneously diagonalized if there is an invertible matrix that diagonalizes both of them 1) if A and B can be diagonalized, show that AB=BA 2)Conversely, if A and B, and if one of these matrices, say A, has distinct eigenvalues, show how they can be simultaneously diagonalized
9) Find a matrix P that diagonalizes A, and find P- AP 9) Find a matrix P that diagonalizes A, and find P- AP
1 2 Suppose that the non-singular n × n matrix A can be diagonalized, ie A = PDP-1 where D is a diagonal matrix. Show that A-1 and AT can be diagonalized. 1.e. Suppose we have 2nu x 2n block matrices Y=I-I B O AB where all sub-matrices are n × n and O denotes the zero matrix. Find a block matrix X such that XY the determinant of X? Z and demonstrate it works. What is
I need help with two of these problems Find a matrix P that diagonalizes A = [ 2], then determine P-1AP. Find A” where A = [~ -5 2 and n is a positive integer. -3
Find an orthogonal matrix P such that diagonalizes . a. b. c. d. e.
Find a matrix P that diagonalizes A, and compute P−1AP .[9 0 8][0 10 0][0 0 10]Enter the following as matrices, find the P with the smallest possible integer valuesAnd then it asks me to find the P-1and p-1APIve tried many times and keep getting it wrong, Thanks.
Find an orthogonal matrix P such that PPAP diagonalizes A = - Lozi 13 2 V2 13
2. For the following matrices, find a matrix Pthat diagonalizes A and compute p-'AP. If the matrix is not diagonalizable, say so and give a reason why. -14 12 (a) A= -2017 100 (b) A011 011
I need help with two of these problems Find a matrix P that orthogonally diagonalizes A = -1 201 2 02, then find PT AP. 0 2 1] 3 a alw /10 Given that A is orthogonal, what is the value of a? 1 3 V10 V10
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 -...