If A is a square matrix of order 3 such that, A, =2, then the value of, adj(adj A), is : Option 1: 2 Option 2: 4 Option 3: 8 Option 4: 16

Answer: 16. Solution: For a square matrix of order n, adj(adj(A)), =, A, ^((n-1)^2). Here n=3, so, adj(adj(A)), =, A, ^4 = 2^4 = 16.

Algebra

Matrices & Determinants

Medium

common

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

✅ Correct Option: 4

For a square matrix of order $n$ , $|\text{adj}(\text{adj}(A))| = |A|^{(n-1)^2}$ .

Here $n=3$ , so $|\text{adj}(\text{adj}(A))| = |A|^{4} = 2^{4} = 16$ .

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If A is a square matrix of order 3 such that ∣A∣=2|A|=2∣A∣=2, then the value of ∣adj(adjA)∣|adj(adj A)|∣adj(adjA)∣ is :

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CUET Mathematics Past Year Questions (Topic-Wise)

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