જો $..........$ તો $\mathrm{A}$ અને $\mathrm{B}$ એકબીજાના વ્યસ્ત શ્રેણિક છે.
A$A B=B A=I$
B$A B=0,\, B A=I$
C$A B=B A=0$
D$A B=B A$
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A$A B=B A=I$
We know that if $A$ is a square matrix of order $m,$ and if there exists another square matrix $B$ of the same order $m,$ such that $A B=B A=I,$
then $B$ is said to be the inverse of $A$. In this case.it is clear that $A$ is the inverse of $B$.
Thus, matrices $A$ and $B$ will be inverses of each other only if $A B=B A=I$.
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જો શ્રેણિક $A$ અને $B$ એ $A\, = \,\left[ {\begin{array}{*{20}{c}}
3&2 \\
2&1
\end{array}} \right]$ અને $B\, = \,\left[ {\begin{array}{*{20}{c}}
3&1 \\
7&3
\end{array}} \right]$ મુજબ આપેલ છે તો $det \,(2A^9B^{-1})$ ની કિમંત મેળવો.