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  4. The constant term in the expansion of [3x+1&2x-1&x+2 5x-1&3x+2&x+1 7x-2&3x+1&4x-1] is

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Q. The constant term in the expansion of $\begin{bmatrix}3x+1&2x-1&x+2\\ 5x-1&3x+2&x+1\\ 7x-2&3x+1&4x-1\end{bmatrix} $ is

KCETKCET 2019Matrices

Solution:

$Take x=0$
$\left|\begin{matrix}1&-1&2\\ -1&2&1\\ -2&1&-1\end{matrix}\right|=1\left(-3\right)+1\left(3\right)+2\left(3\right)=6$