If _x_ is a square matrix of order 3 3 and lambda is a scala-Turito

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General

Easy

Maths-

If X is a square matrix of order 3 × 3 and $lambda$ is a scalar, then adj ( $lambda X right parenthesis$ is equal to

Maths-General

$λ a d j X$
$λ^{3} a d j X$
$λ^{2} a d j X$
$λ^{4} a d j X$

Answer:The correct answer is: $lambda to the power of 2 end exponent a d j X$ By fundamental property, $a d j left parenthesis lambda X right parenthesis equals lambda to the power of n minus 1 end exponent left parenthesis a d j X right parenthesis$ .
Here $n equals 3$
\ $a d j left parenthesis lambda X right parenthesis equals lambda to the power of 3 minus 1 end exponent left parenthesis a d j X right parenthesis$
$a d j left parenthesis lambda X right parenthesis equals lambda to the power of 2 end exponent left parenthesis a d j X right parenthesis$ .

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