List of top Mathematics Questions on Invertible Matrices asked in MET

If \(A\) is a square matrix of order \(n\) such that \(|\operatorname{adj}(\operatorname{adj} A)| = |A|^9\), then the value of \(n\) can be

The sum of \(n\) terms of the series \(1 + \frac{4}{5} + \frac{7}{5^2} + \frac{10}{5^3} + \dots\) is

Let \[ A = \begin{pmatrix} 1 & -1 & 1 2 & 1 & -3 1 & 1 & 1 \end{pmatrix}, \quad 10B = \begin{pmatrix} -5 & 0 & \alpha 4 & 2 & 2 1 & -2 & 3 \end{pmatrix} \] If \( B \) is the inverse of matrix \( A \), then \( \alpha \) is:

Let \( A \) be a square matrix all of whose entries are integers. Then, which one of the following is true?

If \( \begin{bmatrix} 1 & -1 & x \\ 1 & x & 1 \\ x & -1 & 1 \end{bmatrix} \) has no inverse, then the real value of \( x \) is