Use the matrix P to determine if the matrices A and A' are similar. --( :-2)....
linear algebra Use the matrix P to determine if the matrices A and A' are similar. P = 15 9 -20 -11 1 p-1 p-1AP = Are they similar? Yes, they are similar. No, they are not similar.
Are the two matrices similar? If so, find a matrix P such that B = P-1AP. (If not possible, enter IMPOSSIBLE.) 3 00 1 0 0 A = 0 2 0 0 30 0 0 1 0 0 2 P=
Are the two matrices similar? If so, find a matrix P such that B = p-1AP. (If not possible, enter IMPOSSIBLE.) [200 1 0 0 A= 030 B= 0 30 0 0 1 0 0 2 P= 11
Are the two matrices similar? If so, find a matrix P such that B = p-1AP. (If not possible, enter IMPOSSIBLE.) [200 [100 0 3 0 B = 0 3 0 A = 0 0 1 0 0 2 P= III
Are the two matrices similar? If so, find a matrix P such that B = p-1AP. (If not possible, enter IMPOSSIBLE.) 200 100 B = A= 0 3 0 03 0 0 0 1 0 0 2 0 0 ра 0 11 X
Similar Matrices In Exercises 19–22, use the matrix P to show that the matrices A and A′ are similar. P = A = A′ = [1 0 −12 1]
Are the two matrices similar? If so, find a matrix P such that B =p-TAP. (If not possible, enter IMPOSSIBLE.) 3 00 300 0 1 0 0 2 0 002 O 01 P= 11
4 Consider the following nonsingular matrix P = a) Find P by hand. by hand. b) Use P and P-1 to find a matrix B that is similar to A c) Notice that A is a diagonal matrix (a matrix whose entries everywhere besides the main diagonal are 0). As you may recall from #5 on Lab 2, one of the many nice properties of diagonal matrices (of order n) is that 0 1k 0 a11 0 0 a11 0...
please solve both 3. [-12 Points] DETAILS LARLINALG8 7.2.007. For the matrix A, find (if possible) a nonsingular matrix P such that p-1AP is diagonal. (If not possible, enter IMPOSSIBLE.) 8 -2 A= P= Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP = 1. [0/2 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.2.001. Consider the following. -11 40 A= -27 (a) Verify that A is diagonalizable by computing p-1AP. -1 0 p-1AP = 10 3...
8: Suppose that A and B are similar matrices, B = p-1AP, where 6 2 P = -1 1 We know that A and B have the same characteristic polynomial and the same eigenvalues. Suppose that 2 is one of the common eigenvalues and x = [4 1] is a corresponding eigenvector of A. Which of the following is the eigenvector of B corresponding to 2 ? "f1-4-0-0-0-0-01-10 #8: Select