Let the determinant of a square matrix A of order m be m-n, where… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 15 April, Shift 1Inverse & Adjoint of a Matrix

Let the determinant of a square matrix $A$ of order $m$ be $m-n$ , where $m$ and $n$ satisfy $4m+n=22$ and $17m+4n=93$ . If $\det\!\big(n\,adj(adj(mA))\big)=3^{a}5^{b}6^{c}$ , then $a+b+c$ is equal to

A
$84$
B
$96$
C
$101$
D
$109$

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