If A- a b c d - and B- p q r s - then find AB

AB=[ a amp; b c amp; d ][ p amp; q r amp; s ] =[ ap+br amp; aq+bs cp+dr amp; cq+ds ] ...

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Standard XII

Mathematics

Multiplication of Matrices

If A=[ a ...

Question

If $A = [\begin{matrix} a & b c & d \end{matrix}]$ and $B = [\begin{matrix} p & q r & s \end{matrix}]$ then find $A B$

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Solution

$A B = [\begin{matrix} a & b c & d \end{matrix}] [\begin{matrix} p & q r & s \end{matrix}]$
$= [\begin{matrix} a p + b r & a q + b s c p + d r & c q + d s \end{matrix}]$

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If A=[abcd] and B=[pqrs] then find AB

AB=[abcd][pqrs]=[ap+braq+bscp+drcq+ds]

If $A = [\begin{matrix} a & b c & d \end{matrix}]$ and $B = [\begin{matrix} p & q r & s \end{matrix}]$ then find $A B$

$A B = [\begin{matrix} a & b c & d \end{matrix}] [\begin{matrix} p & q r & s \end{matrix}]$
$= [\begin{matrix} a p + b r & a q + b s c p + d r & c q + d s \end{matrix}]$