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What is the Inverse of a Square Matrix?

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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APA style
What is the Inverse of a Square Matrix?. (2010, October 18). In ClassBrain Math. Retrieved 00:43, February 8, 2012, from http://www.classbrainmath.com/2010/03/inverse-of-a-square-matrix/
MLA style
Cynthia Kirkeby, “What is the Inverse of a Square Matrix?.” ClassBrain Math. 18 October 2010, 05:29 UTC. . 8 Feb 2012 <http://www.classbrainmath.com/2010/03/inverse-of-a-square-matrix/>.
MHRA style
Cynthia Kirkeby, 'What is the Inverse of a Square Matrix?', ClassBrain Math, 18 October 2010, 05:29 UTC, <http://www.classbrainmath.com/2010/03/inverse-of-a-square-matrix/> [accessed 8 February 2012]
The Chicago Manual of Style
Cynthia Kirkeby, “What is the Inverse of a Square Matrix?.” ClassBrain Math, http://www.classbrainmath.com/2010/03/inverse-of-a-square-matrix/ [accessed February 8, 2012].
CBE/CSE style
Cynthia Kirkeby, What is the Inverse of a Square Matrix? [Internet]. ClassBrain Math; 2010 October 18, 05:29 UTC [cited 2012 Feb 8]. Available from: http://www.classbrainmath.com/2010/03/inverse-of-a-square-matrix/.
Bluebook style
What is the Inverse of a Square Matrix?, http://www.classbrainmath.com/2010/03/inverse-of-a-square-matrix/ (last visited Feb. 8, 2012).
AMA style
Cynthia Kirkeby, What is the Inverse of a Square Matrix?. ClassBrain Math. October 18, 2010, 05:29 UTC. Available at: http://www.classbrainmath.com/2010/03/inverse-of-a-square-matrix/. Accessed February 8, 2012.
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