PassageLet T:R2→R3T:\mathbb{R}^2\to\mathbb{R}^3 be a linear transformation given by T(x,y)=(2x−3y,−x+5y,x+y)T(x,y)=(2x-3y,-x+5y,x+y). Answer the subquestions.
QuestionLet B1={(1,−1),(0,2)}B_1=\{(1,-1),(0,2)\} and B2={(1,0,0),(0,1,0),(0,0,1)}B_2=\{(1,0,0),(0,1,0),(0,0,1)\}. Which matrix is the representation of TT with respect to B1B_1 for the domain and B2B_2 for the codomain?
