eMatrixProd

Example Find the product of the matrix $A$

and

$\displaystyle A = \left(\begin{array}{rrr} 3&1&7\\ 5&2&-4 \end{array}\right), \ \ \ B = \left(\begin{array}{rr} 2&-3\\ 3&6\\ 4&1 \end{array}\right )$

Answer The inner product of $i$ th row and $j$ th column gives $ij$ th element of $AB$ . $AB = \left(\begin{array}{rr} 2&-3\\ 4&2 \end{array}\right)\left(\begin{array}{... ...end{array}\right) = \left(\begin{array}{cc} -11&4\\ 2&8 \end{array}\right ) .$

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