Q$1$: Use Compiler $($ex: C$++)$ to create $2($n$*$n$)$ matrices $[$A$]*[$B$]=[$C$].$ Generate A and B randomly as follows:

$[$A$]*[$B$]$ Execution Time

$[100*100]*[100*100]4$

$[500*500]*[500*500]524$

$[1000*1000]*[1000*1000]5186$

$[2500*2500]*[2500*2500]128943$

$[5000*5000]*[5000*5000]$

$[10000*10000]*[10000*10000]$

$[20000*20000]*[20000*20000]$

Device name DESKTOP$-$G$1$KFN$2$I

Processor $12$th Gen Intel$($R$)$ Core$($TM$)$ i$7-12700$H $2\mathrm{.}30$ GHz

Installed RAM $16\mathrm{.}0$ GB $(15\mathrm{.}6$ GB usable$)$

Device ID $70$A$4$E$1$F$2-8257-405$B$-9$D$41-8$EEF$719763$B$9$

Product ID $00331-10000-00001-$AA$887$

System type $64-$bit operating system, x$64-$based processor

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