Q. 3 - Precalculus Enhanced with Graphing Utilities

Question

To find the product AB of two matrices A and B, the number

of _______ in matrix A must equal the number of_______ in

matrix B.

Step-by-Step Solution

Answer

Columns , rows.

Step 1. Given Information

Two matrix A & B.

Step 2. Calculation

$$\begin{gathered} Consider two matrix A \& B \\ let A={\left[\begin{array}{cc}1& 2\\ 3& 4\end{array}\right]}_{2\times 2} \\ B={\left[\begin{array}{cc}3& 2\end{array}\right]}_{1\times 2} \\ AB={\left[\begin{array}{cc}1& 2\\ 3& 4\end{array}\right]}_{2\times 2}\times {\left[\begin{array}{cc}3& 2\end{array}\right]}_{1\times 2} \end{gathered}$$