If A = ( 2 1 2 3 1 2 ) and B = ( 3 2 4 2 ) ..

Question 1 Report

If A = $(\begin{matrix} 2 & 1 \\ 2 & 3 \\ 1 & 2 \end{matrix})$ and B = $(\begin{matrix} 3 & 2 \\ 4 & 2 \end{matrix})$ . Find AB

(\begin{matrix} 18 & 6 \\ 12 & 10 \\ 10 & 6 \end{matrix})

(\begin{matrix} 18 & 6 \\ 12 & 10 \\ 10 & 6 \end{matrix})

(\begin{matrix} 18 & 6 \\ 12 & 10 \\ 10 & 6 \end{matrix})

(\begin{matrix} 18 & 6 \\ 12 & 10 \\ 10 & 6 \end{matrix})

Answer Details

Given A = $(\begin{matrix} 2 & 1 \\ 2 & 3 \\ 1 & 2 \end{matrix})$ and B = $(\begin{matrix} 3 & 2 \\ 4 & 2 \end{matrix})$

We can multiply these matrices since the number of colums in A = number of rows in B

AB = $(\begin{matrix} (2 * 3) + (1 * 4) & (2 * 2) + (1 * 2) \\ (2 * 3) + (3 * 4) & (2 * 2) + (3 * 2) \\ (1 * 3) + (2 * 4) & (1 * 2) + (2 * 2) \end{matrix})$

AB = $(\begin{matrix} (6 + 4) & (4 + 2) \\ (6 + 12) & (4 + 6) \\ (3 + 8) & (2 + 4) \end{matrix})$

= $(\begin{matrix} 10 & 6 \\ 18 & 10 \\ 11 & 6 \end{matrix})$

$(\begin{matrix} (2 * 3) + (1 * 4) & (2 * 2) + (1 * 2) \\ (2 * 3) + (3 * 4) & (2 * 2) + (3 * 2) \\ (1 * 3) + (2 * 4) & (1 * 2) + (2 * 2) \end{matrix})$

$(\begin{matrix} 3 & 2 \\ 4 & 2 \end{matrix})$

Read lesson note on Matrices And Determinants (JAMB)

Matrices And Determinants

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If A = ( 2 1 2 3 1 2 ) and B = ( 3 2 4 2 ) . Find AB

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