List of top Mathematics Questions on Applications of Determinants and Matrices

The greatest value of $f(x) = \cos \, (xe^{(x)} + 7x^2 - 3x),x \in [-1, \infty )$ is :

If $A =(5,3) , B = (3, -2)$ and a point $P$ is such that the area of the triangle $PAB$ is $9$, then the locus of $P$ represents

Solve the following system of equations $x - y + z = 4$, $x -2 y + 2z = 9$ and $2x + y + 3z = 1$.

Solve the system of equations $x + 2y + z = 4$, $- x + y + z = 0$ and $x - 3y + z = 4$.