Question

Find (B + C)A. provided that A = [2 0 5 2 3 -2], B = [2 -2 3 5], C = [0 -2 2 0] Find A^TA if A = [1 5 0 -1 6 -2]. Consider the matrices X = [5 0 5], Y = [5 5 0], Z = [-25 -30 5]. Find scalars a and b such that Z = aX + bY. Use the provided definition to find f(A): If f is the polynomial function, f(x) = a_0 + a_1x + a_2x^2 + ... + a_nx^n, then for an n times n matrix A, f(A) is defined to be f(A) = a_0I_n + a_1A + a_2A^2 + ... + a_nA^n. Given that f(x) = x^2 - 5x + 3, A = [2 4 0 6]. Find the inverse of the matrix [8 -24 16 -40] Use inverse matrices to solve the system of linear equations {3x - 4y = 22 2x + 3y = -8 Let A = [1 0 -1 2 1 2 -4 2 0], C = [0 0 -1 4 1 2 -4 2 0]. Find an elementary matrix E such that EA=C.

Show transcribed image text Find (B + C)A. provided that A = [2 0 5 2 3 -2], B = [2 -2 3 5], C = [0 -2 2 0] Find A^TA if A = [1 5 0 -1 6 -2]. Consider the matrices X = [5 0 5], Y = [5 5 0], Z = [-25 -30 5]. Find scalars a and b such that Z = aX + bY. Use the provided definition to find f(A): If f is the polynomial function, f(x) = a_0 + a_1x + a_2x^2 + ... + a_nx^n, then for an n times n matrix A, f(A) is defined to be f(A) = a_0I_n + a_1A + a_2A^2 + ... + a_nA^n. Given that f(x) = x^2 - 5x + 3, A = [2 4 0 6]. Find the inverse of the matrix [8 -24 16 -40] Use inverse matrices to solve the system of linear equations {3x - 4y = 22 2x + 3y = -8 Let A = [1 0 -1 2 1 2 -4 2 0], C = [0 0 -1 4 1 2 -4 2 0]. Find an elementary matrix E such that EA=C.