What Is An Augmented Matrix?
Contents
To solve a system of linear equations, we can use substitution, elimination or something we call augmented matrices. To use matrices to solve a system of linear equations, we first enter the values associated with each of the variables and the answer. Once we put the information into a matrix (a rectangular array of numbers), we can use matrix operations to solve the equation.
Example of an Augmented Matrix
augmented matrix
Definitions:
- Elements: Each of the entries in the augmented matrix
- Rows: The numbers or variables that run across the matrix.
- Columns: The numbers or variables that run down the matrix.
- The diagonal of the matrix: The set of elements that starts at the top, left corner and runs diagonally down and to the right. (This diagonal: 2, -1 and 4.)
What Is An Augmented Matrix?
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What Is An Augmented Matrix?
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What Is An Augmented Matrix?
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Citation styles
- APA style
- What Is An Augmented Matrix?. (2010, October 18). In ClassBrain Math. Retrieved 00:38, February 8, 2012, from http://www.classbrainmath.com/2010/03/augmented-matrix/
- MLA style
- Cynthia Kirkeby, “What Is An Augmented Matrix?.” ClassBrain Math. 18 October 2010, 05:09 UTC. . 8 Feb 2012 <http://www.classbrainmath.com/2010/03/augmented-matrix/>.
- MHRA style
- Cynthia Kirkeby, 'What Is An Augmented Matrix?', ClassBrain Math, 18 October 2010, 05:09 UTC, <http://www.classbrainmath.com/2010/03/augmented-matrix/> [accessed 8 February 2012]
- The Chicago Manual of Style
- Cynthia Kirkeby, “What Is An Augmented Matrix?.” ClassBrain Math, http://www.classbrainmath.com/2010/03/augmented-matrix/ [accessed February 8, 2012].
- CBE/CSE style
- Cynthia Kirkeby, What Is An Augmented Matrix? [Internet]. ClassBrain Math; 2010 October 18, 05:09 UTC [cited 2012 Feb 8]. Available from: http://www.classbrainmath.com/2010/03/augmented-matrix/.
- Bluebook style
- What Is An Augmented Matrix?, http://www.classbrainmath.com/2010/03/augmented-matrix/ (last visited Feb. 8, 2012).
- AMA style
- Cynthia Kirkeby, What Is An Augmented Matrix?. ClassBrain Math. October 18, 2010, 05:09 UTC. Available at: http://www.classbrainmath.com/2010/03/augmented-matrix/. Accessed February 8, 2012.
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