Assignment9: Problem 2 (1 point) If T : R3 > R3 is a lineartransformation such that 1 0 0 4 T 0 = 1 , T 1 : 1, T 0 -2 0 2 1 thenT 4 = V] '1 i] Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining. Assignment9: Problem 3 (1 point) Let f : R - R be defined by f (ac) = - 72. Is fa linear transformation? a. f(a ty) = f ( ac) + f (y) =+ Does f(a + y) = f(x) + f(y) for all x, y ER? choose b. f (ca) = c(f (ac) ) = ( 0) Does f(ca) = c(f (x) ) for all c, x E R? choose c. Is f a linear transformation? choose Note: In order to get credit for this problem all answers must be correct.Assignment9: Problem 4 (1 point) Let f : R -> R3 be defined by f(a) = (3ac, 2x, 6x + 8) . Is f a linear transformation? a. f(a ty ) = f (ac ) + fly ) = + Does f(a + y) = f(x) + f(y) for all x, y E R? choose b. f ( cac) = c(f (ac) ) = Does f(ca) = c(f (x) ) for all c, x E R? choose c. Is f a linear transformation? chooseAssignment9: Problem 7 (1 point) Let T be the linear transformation defined by T( (21, 22, 23) ) = (221 + 9x2 - 8x3, - 21 - 5x2 + 4 Then its associated matrix A is an m x n matrix where m = and n =Assignment9: Problem 8 (1 point) Consider a linear transformation T from R3 to 2 for which - [ ] . " Find the matrix A of T. A =