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We use the identity matrix to calculate a the inverse of a square matrix. In order to be invertible, a matrix must be square. By finding the square matrix inverse, we can find the solution of a system of linear equations. A square matrix inverse, when multiplied on the left or right by the original matrix gives us the identity matrix.

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*ClassBrain Math Tutorials*, 2 March 2013, 10:09 UTC, <http://www.classbrainmath.com/inverse-of-a-square-matrix/> [accessed 22 May 2018] - The Chicago Manual of Style
- Cynthia Kirkeby, “What is the Inverse of a Square Matrix?.”
*ClassBrain Math Tutorials*, http://www.classbrainmath.com/inverse-of-a-square-matrix/ [accessed May 22, 2018]. - CBE/CSE style
- Cynthia Kirkeby, What is the Inverse of a Square Matrix? [Internet]. ClassBrain Math Tutorials; 2013 March 2, 10:09 UTC [cited 2018 May 22]. Available from: http://www.classbrainmath.com/inverse-of-a-square-matrix/.
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- Cynthia Kirkeby, What is the Inverse of a Square Matrix?. ClassBrain Math Tutorials. March 2, 2013, 10:09 UTC. Available at: http://www.classbrainmath.com/inverse-of-a-square-matrix/. Accessed May 22, 2018.