Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Statement-1 The value of determinant vmatrix & ( x + 4 ) & ( x - 4 ) ( x - 4 ) & - (…
MATHEMATICS · Subjective · CBSE · Mathematics · Matrices · Matrices
Problem Statement-1 The value of determinant∣ sin π cos ( x + π 4 ) tan ( x − π 4 ) sin ( x − π 4 ) − cos ( π 2 ) ln ( x y ) cot ( π 4 + x ) ln ( y x ) tan π ∣ is zero. \begin{vmatrix} \sin \pi & \cos \left( x + \frac{\pi}{4} \right) & \tan \left( x - \frac{\pi}{4} \right) \\ \sin \left( x - \frac{\pi}{4} \right) & -\cos \left( \frac{\pi}{2} \right) & \ln \left( \frac{x}{y} \right) \\ \cot \left( \frac{\pi}{4} + x \right) & \ln \left( \frac{y}{x} \right) & \tan \pi \end{vmatrix} \text{ is zero.} sin π sin ( x − 4 π ) cot ( 4 π + x ) cos ( x + 4 π ) − cos ( 2 π ) ln ( x y ) tan ( x − 4 π ) ln ( y x ) tan π is zero. Statement-2 The value of skew-symmetric determinant of odd order equals zero.Browse the problem library