If A = left[ {begin{array}{*{20}{c}}2&53&7end{array}} right] and B = left[ {begin{array}{*{2

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3 and 4 .Determinants and Matrices

easy

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

A

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

B

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

C

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

D

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

Solution

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

Standard 12

Mathematics

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(AIEEE-2004)