# Challenge: Matrix Inversion

Solve the challenge on matrix inversion in R.

## We'll cover the following

## Exercise

One property of the inverse of a matrix is that when it is multiplied by the original matrix, it returns an **identity matrix**.

$A A^{-1} = I$

Your challenge is to complete the function below so that when `input_matrix`

is multiplied by its inverse, it returns an identity matrix. Use the code editor to implement your solution.

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