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Home  >>  CBSE XII  >>  Math  >>  Model Papers
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If $A$ is a $3\times 3$ matrix, and $ |A|\neq0$ and $|3A|=k.|A|,$ then write the value of $k$

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  • If $ |A|=x$, then $ |p.A|=p^n.|A|$ where $n$ is order of the matrix $A$.
Given: $|3A|=k.|A|$
We know that $|3A|=3^n.|A|$ where $n$ is order of $A$.
Given that order of $A$ is $3$.
$\Rightarrow\:|3A|=3^3.|A|=k.|A|$
$\Rightarrow\:k=27$
answered Mar 20, 2014 by rvidyagovindarajan_1
 

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