is given by is a linear mapping.

For this function, write down its matrix with respect to the standard bases of the domain and codomain.

I took this to mean

where . But how do I write this down with respect to the standard bases of the domain and codomain. I know these are (1,0,0), (0,1,0), (0,0,1) , (1,0), (0,1). Thanks very much.