Find the matrix A for T relative to the basis B Show work pl

Find the matrix A\' for T relative to the basis B\'. Show work please for a thumbs up rating!

T: R³->R³, T(x,y,z) = (0,0,0),

B\' = {(1,1,0), (1,0,1), (0,1,1)}

Solution

All vectors are mapped to 0as we can see from definiton of T

So relative to any basis the matrix for T will be the 0 matrix.