If \(\begin{vmatrix}x&2\\18&x\end{vmatrix}=\begin{vmatrix}6&2\\18&6\end{vmatrix}\),then x is equal to
Find values of x, if (i)\(\begin{vmatrix}2&4\\2&1\end{vmatrix}\)=\(\begin{vmatrix}2x&4\\6&x\end{vmatrix}\)
(ii)\(\begin{vmatrix}2&3\\4&5\end{vmatrix}\)=\(\begin{vmatrix}x&3\\2x&5\end{vmatrix}\)
If A=\(\begin{bmatrix}1&0&1\\0&1&2\\0&0&4\end{bmatrix}\),then show that\(\mid A\mid=27\mid A \mid\)
If A=\(\begin{bmatrix}1&2\\4&2\end{bmatrix}\),then show that \(\mid2A\mid=4\mid A\mid\)
Evaluate the determinants in Exercises 1 and 2. (i) \(\begin{vmatrix}\cos\theta&-\sin\theta\\\sin\theta&\cos\theta\end{vmatrix}\)
(ii) \(\begin{vmatrix}x^2&-x+1&x-1\\& x+1&x+1\end{vmatrix}\)
Evaluate the determinants in Exercises 1 and 2.
\(\begin{vmatrix}2&4\\-5&-1\end{vmatrix}\)