Question

Solve problem please

Answer 1

Matrix A is 1 x 4 matrix

Matrix B is 4 x 1 matrix

Since the number of columns of matrix A is same as number of rows of matrix B, the product AB is defined. We show it below:

`\begin{gathered} AB=\begin{bmatrix}3 & 4 & 5 & 6\end{bmatrix}\cdot\begin{bmatrix}1 \\ 2 \\ 3 \\ 4\end{bmatrix} \\ =\lbrack(3)(1)+(4)(2)+(5)(3)+(6)(4)\rbrack \\ =\lbrack3+8+15+24\rbrack \\ =\lbrack50\rbrack \end{gathered}`