Find a basis B for the domain of 7 such that the matrix for 7 relative to B is diagonal. T: R2 - R2: T(x, y) = (2x + 2y, x + y) 2 2 B = X Need Help? Read It Watch ItVerify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. -4 -2 3 A1 = -11, x1 = (1, 2, -1) A = -2 -7 6 12 = -3, X2 = (-2, 10) 1 2 -6 13 = -3, X3 = (3, 0, 1) -4 -2 3 - 2 -7 6 = = -11 2 = 1X1 AX1 = N 1 2 -4 -2 3 -2 -3 = 12X2 AX2 = -7 6 HN 2 W -2 -3 O = 13X3 AX3 = - 2 - 2Find the dimension of the eigenspace corresponding to the eigenvalue .1 = 5. 5 G D 0 5 G 0 D 5 2: Need Help