Consider the matrix A= Answer: -1 0 -619 -15m -5-2 -1 -6-z -12 and let B be a matrix similar to A. Le., B is of the form

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Consider The Matrix A Answer 1 0 619 15m 5 2 1 6 Z 12 And Let B Be A Matrix Similar To A Le B Is Of The Form 1 (11.76 KiB) Viewed 11 times

Consider The Matrix A Answer 1 0 619 15m 5 2 1 6 Z 12 And Let B Be A Matrix Similar To A Le B Is Of The Form 2 (11.76 KiB) Viewed 11 times

Consider The Matrix A Answer 1 0 619 15m 5 2 1 6 Z 12 And Let B Be A Matrix Similar To A Le B Is Of The Form 3 (12.82 KiB) Viewed 11 times

Consider The Matrix A Answer 1 0 619 15m 5 2 1 6 Z 12 And Let B Be A Matrix Similar To A Le B Is Of The Form 4 (15.44 KiB) Viewed 11 times

Consider The Matrix A Answer 1 0 619 15m 5 2 1 6 Z 12 And Let B Be A Matrix Similar To A Le B Is Of The Form 5 (15.32 KiB) Viewed 11 times

Consider The Matrix A Answer 1 0 619 15m 5 2 1 6 Z 12 And Let B Be A Matrix Similar To A Le B Is Of The Form 6 (13.95 KiB) Viewed 11 times

Consider the matrix A= Answer: -1 0 -619 -15m -5-2 -1 -6-z -12 and let B be a matrix similar to A. Le., B is of the form SAS for some nonsingular matrix S. Find all possible values of a so that det (B)-0. Separate multip
Problem 11. (10 points) Consider a linear transformation T from R2 to R2 for which Find the matrix A of T A= T(H)-[2] and 7(H)- T
Find & such that the following matrix M is singular k= Problem 14. (5 points) Consider the following Gauss elimination [1 A 01 0 00 1 R -1 006 & M = 12 14 5 -12+ 6 1 0 01 42 10 A010E₁A001E₂EA0 [1 010 M [0 0 0 8 E₂E₂E₁A= 0 1 & -6 -25 31 0
The matrix The smaller eigenvalue A -2 3 0 0 0 has two real eigenvalues A, A₂. Find these eigenvalues, their multiplicities, and the dimensions of their corresponding eigenspaces. and the dimension of its corresponding eigenspace is and the dimension of its corresponding eigenspace is The larger eigenvalue A₂- has multiplicity has multiplicity 3 4 5 A= 5 4 6 7 -4-5-6
Problem 8. (10 points) Let Give a non-zero vector at in the null space of A -2 5 -5-1 2 1-5 -4 2