Intuitive Method of Finding the Inverse of a Matrix

Finding a matrix inverse is very useful not only in Computer Science but when solving equations by hand. However, using the formula Adj(A) / det(A) can be quite tedious, especially if you don't know how exactly it works. In this article I will show how to intuitively and efficiently find the inverse of a matrix.

Let us begin with the following equation:

A * I = A

By a series of changes to matrices I and A, we want to reach the following equation:

A * A^-1 = I

The changes we can perform

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