Question

If possible, find AB. & State the dimension of the result.

Answer 1

The answer is "
`AB= \left[\begin{array}{cc} -2 &51 \\-8&33\\0&27&\end{array}\right]`"

Explanation:

If the value of A and B is:

`A= \left[\begin{array}{cc}-1&6\\-4&5\\0&3\end{array}\right]`

`B=\left[\begin{array}{cc}2&3\\0&9\end{array}\right]`

Find the value of A
`*`B:

`AB =\left[\begin{array}{cc}-1 * 2+6 * 0 &-1 * 3+6 * 9\\ -4 * 2+5 * 0& -4 * 3+5 * 9\\ 0 * 2+3 * 0&-1 * 2+3* 9\end{array}\right] \\ \\\\AB =\left[\begin{array}{cc}-2+0 &- 3+54\\ -8+0& -12+45\\ 0+ 0&-2 +27\end{array}\right] \\ \\`

`AB= \left[\begin{array}{cc} -2 &51 \\-8&33\\0&27&\end{array}\right]`