List of top Mathematics Questions on Matrices asked in VITEEE

The value of the determinant \( \begin{vmatrix} 1 & a & a^2\\ 1 & b & b^2\\ 1 & c & c^2 \end{vmatrix} \) is:
If \(A\) and \(B\) are two matrices such that \(AB\) is defined and \(AB = A\), then \(B\) is:
If the matrix \(\begin{bmatrix}1 & 2\\ 3 & 4\end{bmatrix}\) has determinant \(k\), then the determinant of its adjoint is:
Let \( f(x) \) be defined as: \[f(x) = \begin{cases} 3 - x, & x<-3 \\ 6, & -3 \leq x \leq 3 \\ 3 + x, & x>3 \end{cases}\]
Let \( \alpha \) be the number of points of discontinuity of \( f(x) \) and \( \beta \) be the number of points where \( f(x) \) is not differentiable. Then, \( \alpha + \beta \) is:
The system of linear equations : $x + y + z = 0, 2x + y - z = 0, 3x + 2y = 0$ has :
If $ A$ and $B$ are matrices and $B = ABA^{-1}$ then the value of $(A + B) (A - B)$ is
$\begin{bmatrix}0&a\\ b&0\end{bmatrix}^{^4}=I$, then