PassageLet T:R4→R2T:\mathbb{R}^4\to\mathbb{R}^2 be the linear transformation defined by T(x1,x2,x3,x4)=(x1−x2, x2−x3+x4)T(x_1,x_2,x_3,x_4)=(x_1-x_2,\ x_2-x_3+x_4) for all (x1,x2,x3,x4)∈R4(x_1,x_2,x_3,x_4)\in\mathbb{R}^4.
QuestionFind the number of columns in the matrix, with respect to any bases, of the linear transformation TT.