List of top Mathematics Questions on types of matrices asked in COMEDK UGET

If \[ A= \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}, \qquad B= \begin{bmatrix} 2 & 0 \\ 1 & 5 \end{bmatrix} \] then \(AB\) is equal to:

If \[ A= \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \] then $A$ is:

Let $A=[a_{ij}]$ be a square matrix of order $3\times3$, where \[ a_{ij}= \begin{cases} i-2j, & i=j \\ 0, & i>j \\ 1, & i<j \end{cases} \] Then the value of $|A^T|$ is:

If the matrix \[ M= \begin{bmatrix} x+5 & a & -4 \\ -2 & 0 & b \\ c & 6 & y+1 \end{bmatrix} \] is a skew-symmetric matrix, then the value of \[ ab+c^2-xy \] is:

If \( X = \begin{bmatrix} 1 & 0 0 & 1 \end{bmatrix} \) and \( Y = \begin{bmatrix} 0 & 1 -1 & 0 \end{bmatrix} \) and \( B = \begin{bmatrix} \cos \theta & \sin \theta -\sin \theta & \cos \theta \end{bmatrix} \), then \( B \) equals:

If \( A = \frac{1}{\pi} \begin{bmatrix} \sin^{-1} \frac{1}{2} & \tan^{-1} \frac{x}{\pi} \sin^{-1} \frac{x}{\pi} & \cot^{-1} \sqrt{3} \end{bmatrix} \), then \( A - B \) is: