If A = [ l 1 2 3 ],then AA ' = - Vidyadip

MCQ

If $A = \left[ \begin{array}{l}1\\2\\3\end{array} \right],$then $AA\ ' = $

A
$14$
B
$\left[ \begin{array}{l}1\\4\\3\end{array} \right]$
✓
$\left[ {\begin{array}{*{20}{c}}1&2&3\\2&4&6\\3&6&9\end{array}} \right]$
D
None of these

✓

Answer

Correct option: C.

$\left[ {\begin{array}{*{20}{c}}1&2&3\\2&4&6\\3&6&9\end{array}} \right]$

$A\ ' = [1\,\,2\,\,3],$
therefore $AA\ ' = \left[ \begin{array}{l}1\\2\\3\end{array} \right]\left[ {1\,\,2\,\,3} \right]$
$ = \left[ {\begin{array}{*{20}{c}}1&2&3\\2&4&6\\3&6&9\end{array}} \right]$.

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