The value of left| {begin{array}{*{20}{c | vedclass

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Question

$\mathrm{R}_{2} \rightarrow \mathrm{R}_{2}-2 \mathrm{R}_{1} $ and $ \mathrm{R}_{3} \rightarrow \mathrm{R}_{3}-3 \mathrm{R}_{1}$

$\left|\begin{array

Vedclass · Accepted Answer

$sin(x - y)$

Vedclass · Answer

$\mathrm{R}_{2} ightarrow \mathrm{R}_{2}-2 \mathrm{R}_{1} $ and $ \mathrm{R}_{3} ightarrow \mathrm{R}_{3}-3 \mathrm{R}_{1}$

$\left|\begin{array}{ccc}{1} & {x} & {y} \ {0} & {\sin x} & {\sin y} \ {0} & {\cos x} & {\cos y}\end{array}ight|=\sin (x-y)$

The value of $\left| {\begin{array}{*{20}{c}}
1&x&y\\
2&{\sin x + 2x}&{\sin y + 2y}\\
3&{\cos x + 3x}&{\cos y + 3y}
\end{array}} \right|$ is

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The system of linear equations $x + \lambda y - z = 0,\lambda x - y - z = 0\;,\;x + y - \lambda z = 0$ has a non-trivial solution for:

$\left| {\,\begin{array}{*{20}{c}}x&4&{y + z}\\y&4&{z + x}\\z&4&{x + y}\end{array}\,} \right| = $

The value of $\left| {\begin{array}{*{20}{c}} 1&x&y\\ 2&{\sin x + 2x}&{\sin y + 2y}\\ 3&{\cos x + 3x}&{\cos y + 3y} \end{array}} \right|$ is