A First Course in Linear Algebra · Problem CB.RQ.2

Representations — Robert Beezer

Mathematics — Linear Algebra · change-of-basis-matrix-computation

Problem

Find the change-of-basis matrix,

C_{B,C}

, for the two bases of

\mathbb{C}^2

B = \left\{\begin{bmatrix}2\\3\end{bmatrix}, \begin{bmatrix}-1\\2\end{bmatrix}\right\} \qquad C = \left\{\begin{bmatrix}1\\0\end{bmatrix}, \begin{bmatrix}1\\1\end{bmatrix}\right\}