Answer to Question #180106 in Linear Algebra for Oliver

Question #180106

Find the product of the following question.

A=( 1 2 3 4) B = ( 1 2 3

( 5 6 7 8 ) ( 4 5 6

( 7 8 9

( 10 11 12 )


1
Expert's answer
2021-04-29T17:16:33-0400

Given,

A=(123   456   789)A = \begin{pmatrix}1&2&3\\ \:\:\:4&5&6\\ \:\:\:7&8&9\end{pmatrix} and B=(123   456   789)B = \begin{pmatrix}1&2&3\\ \:\:\:4&5&6\\ \:\:\:7&8&9\end{pmatrix}


Then,

AB=(123   456   789)(123   456   789)AB = \begin{pmatrix}1&2&3\\ \:\:\:4&5&6\\ \:\:\:7&8&9\end{pmatrix} \begin{pmatrix}1&2&3\\ \:\:\:4&5&6\\ \:\:\:7&8&9\end{pmatrix}



=(11+24+3712+25+3813+26+3941+54+6742+55+6843+56+6971+84+9772+85+9873+86+99)=\begin{pmatrix}1\cdot \:1+2\cdot \:4+3\cdot \:7&1\cdot \:2+2\cdot \:5+3\cdot \:8&1\cdot \:3+2\cdot \:6+3\cdot \:9\\ 4\cdot \:1+5\cdot \:4+6\cdot \:7&4\cdot \:2+5\cdot \:5+6\cdot \:8&4\cdot \:3+5\cdot \:6+6\cdot \:9\\ 7\cdot \:1+8\cdot \:4+9\cdot \:7&7\cdot \:2+8\cdot \:5+9\cdot \:8&7\cdot \:3+8\cdot \:6+9\cdot \:9\end{pmatrix}



AB=(303642668196102126150)AB=\begin{pmatrix}30&36&42\\ 66&81&96\\ 102&126&150\end{pmatrix}



Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment