List of top Mathematics Questions on Order of Matrix asked in CUET (UG)

If $a_{ij}=\begin{cases} 0,& i\ne j\\ 2i-j,& i=j \end{cases}$ then matrix A is:

If A is a matrix of order $3\times4$ and B is a matrix such that AB and BA are both defined, then order of B is:

Matrix $A=[a_{ij}]_{3\times3}$ where } \[ a_{ij}= \begin{cases} i+j, & i \ne j \\ i-j, & i=j \end{cases} \] Find matrix $A$.

If the order of a matrix A is 2 × 3, the order of matrix B is 3 × 4 and the order of matrix C is 3 × 4, then the order of the matrix (A, B).C^T is