the standard matrix [T ] of a linear transformation T is given. Use it to find T (x).

(a)T =[ 1 2] [ 1]

[ 3 4] x = [-2]

b. [-1 2 0] [ -1]

[ 3 1 4] x = [ 1]

[ 2]

Solution:

(a) T(x) = [-4]

           [2.5]

(b) T(x) = [3 ]

           [6 ]