Question

Let e₁ = [ 1 ] e₂ = [ 0 ] y₁ = [ 2 ] and y₂ = [ -1 ]
[ 0 ] [ 1 ] [ 5 ] [ 6 ]
and let T: R₂ rightarrow R₂ be a linear transformation that maps e₁ into y₁ and maps e₂ into y₂. Find the images of

[ 5 ] and [ x1 ]
[ -3 ] [ x2 ]