# Question: let tr3 to r2 be a linear transformation operator represented...

###### Question details

Let *T*:R^{3} to R^{2} be a linear
transformation (operator) represented by the following:
*T*v=T(x, y, z)=[2x, y+z]^{T}

Determine the matrix *B* associated with the
transformation *T* with respect to the basis *B* in
R^{3} and the canonical basis in R^{2}.