The value of left| begin{array}{ccc} 441 & 44 | vedclass

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(B) Let $\Delta = \left| \begin{array}{ccc} 441 & 442 & 443 \ 445 & 446 & 447 \ 449 & 450 & 451 \end{array} ight|$.Applying the column operations

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(B) Let $\Delta = \left| \begin{array}{ccc} 441 & 442 & 443 \ 445 & 446 & 447 \ 449 & 450 & 451 \end{array} ight|$.Applying the column operations $C_1 	o C_1 - C_2$ and $C_2 	o C_2 - C_3$:$C_1 - C_2 = \begin{bmatrix} 441-442 \ 445-446 \ 449-450 \end{bmatrix} = \begin{bmatrix} -1 \ -1 \ -1 \end{bmatrix}$.$C_2 - C_3 = \begin{bmatrix} 442-443 \ 446-447 \ 450-451 \end{bmatrix} = \begin{bmatrix} -1 \ -1 \ -1 \end{bmatrix}$.Thus,the determinant becomes $\Delta = \left| \begin{array}{ccc} -1 & -1 & 443 \ -1 & -1 & 447 \ -1 & -1 & 451 \end{array} ight|$.Since column $C_1$ and column $C_2$ are identical,the value of the determinant is $0$.

The value of $\left| \begin{array}{ccc} 441 & 442 & 443 \\ 445 & 446 & 447 \\ 449 & 450 & 451 \end{array} \right|$ is

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