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2. Multiply the matrices.

2. Multiply the matrices.-example-1
User Dragisa Dragisic
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1 Answer

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25 votes

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 ]

User Quango
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