Question

Find the product AB of the two matrices listed below: A=begin{pmatrix}2 & 1&3 -2 & 2&4-1&-3&-4 end{pmatrix} B=begin{pmatrix}-1 & -21 & 23&4 end{pmatrix}

Matrices
ANSWERED
asked 2020-11-23
Find the product AB of the two matrices listed below:
\(A=\begin{pmatrix}2 & 1&3 \\-2 & 2&4\\-1&-3&-4 \end{pmatrix}\)
\(B=\begin{pmatrix}-1 & -2\\1 & 2\\3&4 \end{pmatrix}\)

Answers (1)

2020-11-24
Step 1
Find the product AB of the two matrices.
Step 2
\(AB=\begin{bmatrix}2 & 1&3 \\-2 & 2&4\\-1&-3&-4 \end{bmatrix}\begin{bmatrix}-1 & -2\\1 & 2\\3&4 \end{bmatrix}\)
\(=\begin{bmatrix}-2+1+9 & -4+2+12 \\2+2+12 & 4+4+16\\1-3-12&2-6-16 \end{bmatrix}\)
\(=\begin{bmatrix}8 & 10\\16 & 24\\-14&-20 \end{bmatrix}\)
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