S = \(\begin{pmatrix} -1 & 1 \\ 1 & -2 \end{pmatrix}\) and ST = I (Identity matrix). This means T is the inverse of S Find the determinant of S \( \det(S)\) = (-1)(-2) - (1)(1) = 2 - 1 = 1 T = \(\frac{1}{\det(S)} \begin{pmatrix} -2 & -1 \\ -1 & -1 \end{pmatrix}\) Since det = 1, T = \(\begin{pmatrix} -2 & -1 \\ -1 & -1 \end{pmatrix}\) T = \(\begin{pmatrix} -2 & -1 \\ -1 & -1 \end{pmatrix}\)