Q33Comprehension2 Marks7 Aug 2022PassageConsider the matrix A = [x−12y12z34]\begin{bmatrix} x & -1 & 2 \\ y & 1 & 2 \\ z & 3 & 4 \end{bmatrix}xyz−113224 Answer the given subquestions:Let T:R3→RT: \mathbb{R}^3 \to \mathbb{R}T:R3→R be a linear transformation such that T(x,y,z)=det(A)T(x, y, z) = \det(A)T(x,y,z)=det(A). Then which of following options is/are true?AT is injective.BT is surjective.CT is an isomorphism.DT is neither injective nor surjective.
