If A = [ * 20 c 2&5 3&7 ]and B = [ * 20 c 0&3 4&1 ],then - Vidyadip

MCQ

If $A = \left[ {\begin{array}{*{20}{c}}2&5\\3&7\end{array}} \right]$and $B = \left[ {\begin{array}{*{20}{c}}0&3\\4&1\end{array}} \right],$then

✓
$|AB|\, = \,|A||B|$
B
$|AB|\, = \,|A|$
C
$|AB|\, = \,|B|$
D
$|AB|\, = - \,|A||B|$

✓

Answer

Correct option: A.

$|AB|\, = \,|A||B|$

a
(a) We know that if $A, B $ are $ n$ square matrices, then $|AB|\,\, = \,\,|A|\,\,|B|$.

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