PassageConsider a linear transformation T:R3→R2T:\mathbb{R}^3\to\mathbb{R}^2 whose matrix representation is A=[1−10023]A=\begin{bmatrix}1&-1&0\\0&2&3\end{bmatrix} with respect to β={(1,0,0),(0,1,0),(1,1,1)}\beta=\{(1,0,0),(0,1,0),(1,1,1)\} and γ={(1,0),(1,1)}\gamma=\{(1,0),(1,1)\}.
QuestionIf T(x,y,z)=(mx+ny+az,px+qy+rz)T(x,y,z)=(mx+ny+az,px+qy+rz), find (m+n+a)−3(p+q+r)(m+n+a)-3(p+q+r).
