Definition 21.3 University Mathematics — Year 1 · অধ্যায় 21 — Matrices For A∈Mn,pA \in \mathcal{M}_{n,p}A∈Mn,p and B∈Mp,qB \in \mathcal{M}_{p,q}B∈Mp,q: (AB)ik=∑j=1paij bjk(1≤i≤n, 1≤k≤q).(AB)_{ik} = \sum_{j=1}^{p} a_{ij}\, b_{jk} \qquad (1 \leq i \leq n,\ 1 \leq k \leq q).(AB)ik=j=1∑paijbjk(1≤i≤n, 1≤k≤q). This is precisely the matrix of the composition: Mat(v∘u)=Mat(v) Mat(u)\operatorname{Mat}(v \circ u) = \operatorname{Mat}(v)\, \operatorname{Mat}(u)Mat(v∘u)=Mat(v)Mat(u) (bases matching in the middle). Similarly, if XXX is the column of coordinates of xxx, the column of u(x)u(x)u(x) is AXAXAX. প্রসঙ্গসহ পড়ো →
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