Question

Given a system linear equation{x+3y+2z=2 2x+7y+7z=-1 2x+5y+2z=7 Solve By addition(elimination) Using Elementary Row operation (RREF) Using x = A^-1b using Determinants Given the matrices A = [1 -2 2 3 -3 4] B = [-2 0 -3 4]: C = [-3 2 4 -1 0 2] Compute the following: -2A+3C^-2 B^T times C Let T: R^2 rightarrow R^3 defined by T[x_1 x_2] = [2x_1+x_2 x_1-x_2 x_1]. Given c = -2, u=[-2 3], and v = [-3 4] Verity: Is T(u +v) = T(u)+T(v)? Is c T(u) = T(cv)? Given A = [4 -2 1 2 0 1 2 -2 3]. Solve for the eigenvector v associated by the eigenvalue lambda = 2.

Show transcribed image text Given a system linear equation{x+3y+2z=2 2x+7y+7z=-1 2x+5y+2z=7 Solve By addition(elimination) Using Elementary Row operation (RREF) Using x = A^-1b using Determinants Given the matrices A = [1 -2 2 3 -3 4] B = [-2 0 -3 4]: C = [-3 2 4 -1 0 2] Compute the following: -2A+3C^-2 B^T times C Let T: R^2 rightarrow R^3 defined by T[x_1 x_2] = [2x_1+x_2 x_1-x_2 x_1]. Given c = -2, u=[-2 3], and v = [-3 4] Verity: Is T(u +v) = T(u)+T(v)? Is c T(u) = T(cv)? Given A = [4 -2 1 2 0 1 2 -2 3]. Solve for the eigenvector v associated by the eigenvalue lambda = 2.