Let A and B be two square matrices of order 3 such that \(|\mathrm{A}|=3\) and \(|\mathrm{B}|=2\).
Then \(\left|{\mathrm{A}}^{\mathrm{T}}\mathrm{A}(adj(2\mathrm{A}){)}^{-1}(adj(4\mathrm{B}))(adj(\mathrm{AB}){)}^{-1}{\mathrm{AA}}^{\mathrm{T}}\right|\)

is equal to :

[JEE Main 2024, 05 Apr (Shift 1)]

Question

Let A and B be two square matrices of order 3 such that \(|\mathrm{A}|=3\) and \(|\mathrm{B}|=2\).
Then \(\left|{\mathrm{A}}^{\mathrm{T}}\mathrm{A}(adj(2\mathrm{A}){)}^{-1}(adj(4\mathrm{B}))(adj(\mathrm{AB}){)}^{-1}{\mathrm{AA}}^{\mathrm{T}}\right|\)

is equal to :

[JEE Main 2024, 05 Apr (Shift 1)]

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

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