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(i) If A is a square matrix of order 3 such that |?| = 2, then the value of |???(????)|is

Posted by Kratika Dawar 4 years, 6 months ago

CBSE > Class 12 > Mathematics

2 answers

Rajan Kumar Pasi 4 years, 6 months ago

{tex}\huge {{\text{Sol: } | {adj\ (\ adj A\ )}| } = {(|A|^{n-1}})^2}\\ \huge {=>{ | {adj\ (\ adj A\ )}| } = {(2^{3-1}})^2}\\ \huge {=>{ | {adj\ (\ adj A\ )}| } = {(2^{2}})^2}\\ \huge {=>{ | {adj\ (\ adj A\ )}| } = (4)^2}\\ \huge {=>{ | {adj\ (\ adj A\ )}| } = \boxed{16} \leftarrow Ans}\\ :-) {/tex}

0Thank You

Diksha Garg 4 years, 6 months ago

|adj.(adj.A)|=|A|^(n-1) ^2 It means |A|^(3-1) ^2 =2^4=16

0Thank You

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