Value of determinant left| {,begin{array}{*{20}{c}}{ - 1}&1&11&{ - 1}&11&1&{

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3 and 4 .Determinants and Matrices

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The value of the determinant$\left| {\,\begin{array}{*{20}{c}}{ - 1}&1&1\\1&{ - 1}&1\\1&1&{ - 1}\end{array}\,} \right|$is equal to

A

$-4$

B

$0$

C

$1$

D

$4$

Solution

(d)Apply ${R_1} \to {R_1} + {R_2}$ and then expand along ${R_1}$.

Standard 12

Mathematics

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