List of top Mathematics Questions on Matrices asked in TS EAMCET

If \[ A= \begin{bmatrix} 1&1\\ 0&1 \end{bmatrix} \] and \[ S=A+A^{2}+A^{3}+...+A^{12} \] then sum of all elements of matrix S is

If \[ A= \begin{bmatrix} 0&\alpha&\beta\\ \beta&\alpha&0\\ \alpha&0&\beta \end{bmatrix} \] where \(\beta>\alpha>0\) and \[ AA^T= \begin{bmatrix} 25&a&b\\ a&25&12\\ b&a&25 \end{bmatrix} \] then \[ a+b+\alpha-\beta= \]