Consider the bases

B = ([2] [3]) of R^2 and C = ([ 1 ][ 1 ][ 0 ]) of R^3

[3] [5][ 1 ] , [ 0 ] , [ 1 ]

[ 0 ][ 1 ][1 ]

And the linear maps S in L(R^2,R^3) and T in L(R^3, R^2)

Given with respect to the standard bases as

[S]_E,E= [ 2 -1 ] and T_E,E= [ 1 -1 1 ]

[ 5 -3 ][ 1 1 -1 ]

[ -3 2 ]

What is the coordinate representation for

-[S]_B,C

-[T]_C,E