List of top Applied Mathematics Questions on Inverse of a Matrix

Determine the values of \( x \) and \( y \).
Using Cramer's rule, solve the following system of equations: \[ 2x_1 + 3x_2 = 5 \] \[ 11x_1 - 5x_2 = 6 \]
The value of \[ \Delta = \begin{vmatrix} 42 & 2 & 5 \\ 79 & 7 & 9 \\ 29 & 5 & 3 \end{vmatrix} \] is:
If \( AB = A \) and \( BA = B \), then \( (B^2 + B) \) equals: