We show, step-by-step, how to find the rank and bases of the row, column and null space of a given matrix.

# Tag: matrix

## Nilpotent Implies Singular

We show, step-by-step, how to prove that if a matrix is nilpotent, then it must be singular. We then provid the write up of this proof.

## Finding a Determinant (Part 2)

We show, step-by-step, how to find the determinant of a matrix by using row operations.

## Does that Matrix Have an Inverse?

We describe how to find if a matrix has an inverse, then give the definition of determinant and relate it to the inverse.

## Inverse Matrix

We show, step-by-step, how to find the multiplicative inverse of a matrix.