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Class-12-science»Maths

How to do product between two matrices

Let us assume We have, A = [\begin{matrix} 3 & 1 \\ - 1 & 2 \end{matrix}] A^{2} = A \times A \Rightarrow A^{2} = [\begin{matrix} 3 & 1 \\ - 1 & 2 \end{matrix}] [\begin{matrix} 3 & 1 \\ - 1 & 2 \end{matrix}] Now we will multiply row of first matrix with column of second matrix one by one as shown below, \Rightarrow A \times A = [\begin{matrix} 9 - 1 & 3 + 2 \\ - 3 - 2 & - 1 + 4 \end{matrix}] \Rightarrow A \times A = [\begin{matrix} 8 & 5 \\ - 5 & 3 \end{matrix}]

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