Solve for the matrix X eMz (R): -2 3 ļ s X = 7|o

Let A be the square matrix (abcd)A. If ad−bc = 1, then show that A^−1 =(d−b−ca ) B. If ad−bc=α, then what is A^−1 in terms of α

Let -5 ^-[33] ²-[+ ₂] = [42], A = E = =-[B] F-[-2] -1 Compute the indicated matrix. (If this is not possible, enter DNE in any single blank). E(AF) Need Help? Read It Watch It Master It

Suppose A, B, and X are n x n matricies with A, X, and A - AX invertible and suppose (A - AX)^-1 = X^-1B a. explain why B is invertible b. solve (3) for X, If you need to invert a matrix, explain why that matrix is inveritble.

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etA = Compute the matrix exponential e for the matrix A 6e^(-2t)-5€ -3e^(-2t)+3 10e^(-2t)-1 -25e^(-2t)+ -17 9 -30 16 Note the t!

Find a real matrix A such that A ^6 = (09, -90)

Given the following matrix A, find matrices D and P such that A^K = (P) (D^K) (P^-1). Thanks for your help.

Consider the following system of equations for the growth of rabbitsand foxes from year to year:R'=1.5R-0.2F+100F'=0.3R+0.9F+50 Write this system in matrix form, where p = [R, F] and p' =[R', F']. Write a matrix equation for p^(3), the vector of rabbits and foxesafter 3 years.

A and B are n x n matrices.    check the true statements below:   1) det(A)det(B) = -det(B^(t)A^(t))    2) det(A^(-1)) = -det(A)