Matrix representation of a linear map
= Matrix representation of a linear map
= Matrix of a linear map
{synonym}
Given ordered bases $\mathcal B=(v_j)$ and $\mathcal C=(w_i)$, the matrix $[T]_{\mathcal C\leftarrow\mathcal B}$ has column $j$ equal to the $\mathcal C$-coordinate vector of $T(v_j)$.