Can we use simultaneous row and column operations in solving same determinant? Please help.. Can both(row and column) operations be used simultaneously in finding the value of same determinant means in solving same question at a single time?

Remember that a set of row operations on a matrix $A$ can be represented by a matrix $P$
$$A^{\prime}=PA$$
Here $A^{\prime}$ is the matrix $A$ after the operations. In the same way, column operations are represented by a matrix $Q$ such that
$$A^{\prime}=AQ$$
After both row a column operations you have
$$A^{\prime}=PAQ$$
so
$$\det A^{\prime}=\det P\det Q\det A$$
Here $\det P$ and $\det Q$ are factors that depends on your exact operations: row addition (factor $1$), row transposition (factor $-1$) and row multiplication by $c$ (factor $c^{n}$, where $n\times n$ is the size of the matrices).
