Determinants — Class 12 Maths Solution

exemplar tf TrueFalse NCERT,Exemp,Q.54, Page.83
Question

$|{\mathop{\rm adj}\nolimits} A| = |A{|^2}$, where $A$ is a square matrix of order two.

Correct Answer False

Step-by-step Solution
Answer: False

If $A$ is a square matrix of order $n$, then
$|{\mathop{\rm adj}\nolimits} A| = |A{|^{n - 1}}$
$\Rightarrow$ $|{\mathop{\rm adj}\nolimits} A| = |A{|^{2 - 1}} = |A|$

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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Determinants. Curated by Sachin Sharma. Free for all students.