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CBSE Class 12 Math 2022 Term I Solved Paper

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Question : 30 of 50
Marks: +1, -0
If AA is a square matrix of order 3 and ∣A∣=−5\left|A\right|=-5, then ∣adj⁡A∣\left|\operatorname{adj} A\right| is
Solution:     👈: Video Solution
Explanation: We know that,
∣adj⁡A∣=∣A∣n−1\left|\operatorname{adj} A\right|=\left|A\right|^{n-1}
where nn is the order of the matrix
∴    ∣adj⁡A∣\therefore \;\; \left|\operatorname{adj} A\right|
  =(5)3−1\;=(5)^{3-1}
  =52=25\;=5^2=25
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