Question

A=((2&5@4&3)) B=((1&-3@2&5)) எனில் AB மற்றும் BA ஐ காண்க. மேலும் AB = BA என்பதை சரிபார்க்க.

Answer 1

Answer:

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Answer 2

விளக்கம்:

$A=\left[\begin{array}{ll}2 & 5 \\4 & 3\end{array}\right]$

$B=\left[\begin{array}{cc}1 & -3 \\2 & 5\end{array}\right]$

$A B=\left[\begin{array}{ll}2 & 5 \\4 & 3\end{array}\right]\left[\begin{array}{cc}1 & -3 \\2 & 5\end{array}\right]$

     $=\left[\begin{array}{cc}2+-10 & -6+25 \\4+6 & -12+15\end{array}\right]=\left[\begin{array}{cc}12 & 19 \\10 & 3\end{array}\right]$

$A B=\left[\begin{array}{ll}12 & 19 \\10 & 3\end{array}\right]$.......(1)

$\mathrm{BA}=\left[\begin{array}{cc}1 & -3 \\2 & 5\end{array}\right]\left[\begin{array}{ll}2 & 5 \\4 & 3\end{array}\right]$

     $=\left[\begin{array}{cc}2-12 & 5-9 \\4+20 & 10+15\end{array}\right]$

$\mathrm{BA}=\left[\begin{array}{cc}-10 & -4 \\24 & 25\end{array}\right]$.......(2)

(1) (2)லிருந்து

$A B \neq B A$