Question

2. Multiply the matrices.

Answer 1

Result of matrix multiplication
`\left[\begin{array}{ccc} - 1&2&0\\3&2&4\\ - 5& - 1&6\end{array}\right] * \left[ \begin{array}{cc} 2& - 3 \\ 7& - 1 \\ 1&2 \end{array} \right] = \left[\begin{array}{ccc} 12&1\\ - 4 &1\\ - 11&28\end{array}\right]`.

What is a matrix?

A matrix is a series of numbers forming a square or rectangle arranged in rows and columns enclosed in square brackets [ ] or regular brackets ( ).

Solution:

`\left[\begin{array}{ccc} - 1&2&0\\3&2&4\\ - 5& - 1&6\end{array}\right] * \left[ \begin{array}{cc} 2& - 3 \\ 7& - 1 \\ 1&2 \end{array} \right]`

`\left[ \begin{array}{cc} - 1 * 2 + 2 * 7 + 0 * 1 & - 1 * ( - 3) + 2 * ( - 1) + 0 * 2 \\3 * 2 + ( - 2) * 7 + 4 * 1&3 * ( - 3) + ( - 2) * ( - 1) + 4 * 2\\ - 5 * 2 + ( - 1) * 7 + 6 * 1&( - 5) * ( - 3) + ( - 1) * ( - 1) + 6 * 2 \end{array}\right ]`

`\left[\begin{array}{ccc} 12&1\\ - 4 &1\\ - 11&28\end{array}\right ]`