If \(A = \begin{pmatrix} 2 & 1 \\ 2 & 3 \\ 1 & 2 \end{pmatrix}\) and \(B = \begin{pmatrix} 3 & 2 \\ 4 & 2 \end{pmatrix}\). Find \(AB\)
Question 1 Report
If \(A = \begin{pmatrix} 2 & 1 \\ 2 & 3 \\ 1 & 2 \end{pmatrix}\) and \(B = \begin{pmatrix} 3 & 2 \\ 4 & 2 \end{pmatrix}\). Find \(AB\)
Answer Details
Given A = ⎛⎝⎜221132⎞⎠⎟ and B = (3422)
We can multiply these matrices since the number of colums in A = number of rows in B
AB = ⎛⎝⎜(2∗3)+(1∗4)(2∗3)+(3∗4)(1∗3)+(2∗4)(2∗2)+(1∗2)(2∗2)+(3∗2)(1∗2)+(2∗2)⎞⎠⎟
AB = ⎛⎝⎜(6+4)(6+12)(3+8)(4+2)(4+6)(2+4)⎞⎠⎟
= ⎛⎝⎜1018116106⎞⎠⎟
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