Any given **square matrix A** is said to be **Invertible** if its inverse exists. In other words, we can say that **square matrix A** is said to be **Invertible** if there exists another **square matrix B** such that where **I is an identity matrix** of same order as of A and B.

## Video Tutorial: What is Nilpotent Matrix?

## Value of Determinant remains unchanged if we add equal multiples of all the elements of row (column) to corresponding elements of another row (column)

If, we have a given matrix **A**. We can perform some column and row operations on this **matrix** such that value of its determinant remains unchanged. If, we multiply particular row (column) of **matrix A** with a constant k and then add all the elementĀ of that row (column) to the corresponding elements of another row (column) then the value of **determinant** remains unchanged. This is an important property regarding **matrices and determinants**.