Just want to confirm the following
Find the matrix of s with respect to the standard basis for the domain C and the standard basis for the codoaim R^3.
s(a,b) = (b,a,a+b)
s(1,0) = (0,1,1), s(0,1) = (1,0,1)
The matrix of s with repect to the standard basis is
A = ( 0 1)
Is this correct?