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Matrices And Determinants

AP EAPCET 2021 - 19th August Evening Shift

MCQ+1 / -02021

$$A=\left[\begin{array}{ccc}a^2 & 15 & 31 \\ 12 & b^2 & 41 \\ 35 & 61 & c^2\end{array}\right]$$ and $$B=\left[\begin{array}{ccc}2 a & 3 & 5 \\ 2 & 2 b & 8 \\ 1 & 4 & 2 c-3\end{array}\right]$$ are two matrices such that the sum of the principal diagonal elements of both \(A\) and \(B\) are equal, then the product of the principal diagonal elements of \(B\) is

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