Identity Matrix

The identity matrix can be multiplied against another matrix and the answer is the other matrix.

This is analogous to how 1*5=5 and 1*a=a.

The two most commonly used Identity Matrices are shown below:

 \begin{bmatrix} 1 && 0 \\ 0 && 1 \end{bmatrix}

\begin{bmatrix} 1 && 0 && 0 \\ 0 && 1 && 0 \\ 0 && 0 && 1 \end{bmatrix}

After looking at these two examples, you can probably guess the general template used to create an identity matrix.

An Identity matrix must be a Square Matrix.

The Identity matrix is the only matrix that is its own Inverse Matrix.

I I^{-1} = I