Question

Lenear transformation A:R2 --> R2 is given by the images of basis vectors: A((1,1))=(2,1) and A((1,0))=(0,3).

a) find a matrix of linear transformation A in basis (1,1), (1,0)

b) find A((3,2))

c) find vector x=(x1,x2) such as matrix [-6 -6; 3 4] is matrix of linear transformation A in basis x, (0,3).