How do I multiply the matrix ((6, 4, 24),(1, -9, 8)) by the matrix ((1, 5, 0), (3, -6, 2))?

Jul 9, 2018

You can't.

Explanation:

Given: $\left[\begin{matrix}6 & 4 & 24 \\ 1 & - 9 & 8\end{matrix}\right] \times \left[\begin{matrix}1 & 5 & 0 \\ 3 & - 6 & 2\end{matrix}\right]$

To multiply matrices the second matrix must have the same number of rows and the number of columns of the first matrix.

1st matrix: $2 \times 3 \implies 2 \text{ rows by " 3 " columns}$

2nd matrix: $2 \times 3 \implies 2 \text{ rows by " 3 " columns}$

To multiply, the 2nd matrix must be $3 \times 1 \text{ or "3 xx 2 " or } 3 \times 3$, etc.

If we have a $n \times m$ times a $m \times p$, the product would be a $n \times p$