Let $A$ and $B$ be two square matrices of order 3 such that $|A|=3$ and $|B|=2$. Then $\left|{A}^{T}A(adj(2A){)}^{-1}(adj(4B))(adj(AB){)}^{-1}A{A}^{T}\right|$ is equal to : [JEE Main 2024, 5 Apr (Shift 1)]

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Let \(A\) and \(B\) be two square matrices of order 3 such that \(|A|=3\) and \(|B|=2\). Then \(\left|{A}^{T}A(adj(2A){)…

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