If A begin pmatrix 2 amp 1 2 amp 3 1 amp 2 end ... - JAMB Mathematics 2022 Question
If A = \(\begin{pmatrix} 2 & 1 \ 2 & 3 \ 1 & 2 \end{pmatrix}\) and B = \(\begin{pmatrix} 3 & 2 \ 4 & 2 \end{pmatrix}\). Find AB
\(\begin{pmatrix} 18 & 6 \ 12 & 10 \ 10 & 6 \end{pmatrix}\)
\(\begin{pmatrix} 10 & 6 \ 13 & 10 \ 12 & 6 \end{pmatrix}\)
\(\begin{pmatrix} 10 & 6 \ 12 & 10 \ 11 & 6 \end{pmatrix}\)
\(\begin{pmatrix} 10 & 6 \ 18 & 10 \ 11 & 6 \end{pmatrix}\)
Given that A = \(\begin{pmatrix} 2 & 1 \ 2 & 3 \ 1 & 2 \end{pmatrix}\) and B = \(\begin{pmatrix} 3 & 2 \ 4 & 2 \end{pmatrix}\).
We apply matrice multiplication, considering that the number of columns in A = number of rows in B
AB = \(\begin{pmatrix} (2*3)+(1*4) & (2*2)+(1*2) \ (2*3)+(3*4) & (2*2)+(3*2) \ (1*3)+(2*4) & (1*2)+(2*2) \end{pmatrix}\)
AB = \(\begin{pmatrix} (6+4) & (4+2) \ (6+12) & (4+6) \ (3+8) & (2+4) \end{pmatrix}\)
= \(\begin{pmatrix} 10 & 6 \ 18 & 10 \ 11 & 6 \end{pmatrix}\)
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