Find the change of basis matrix from B={(1,0),(0,1)}\mathcal{B} = \{(1, 0), (0, 1)\}B={(1,0),(0,1)} to C={(1,1),(1,2)}\mathcal{C} = \{(1, 1), (1, 2)\}C={(1,1),(1,2)}.
(2−1−11)\begin{pmatrix} 2 & -1 \\ -1 & 1 \end{pmatrix}(2−1−11)
(1112)\begin{pmatrix} 1 & 1 \\ 1 & 2 \end{pmatrix}(1112)
(1−1−12)\begin{pmatrix} 1 & -1 \\ -1 & 2 \end{pmatrix}(1−1−12)
(2111)\begin{pmatrix} 2 & 1 \\ 1 & 1 \end{pmatrix}(2111)