Chapter 6 Review and Tests
|Definitions, Concepts, and Formulas
6.1 Matrices and Systems of Equations
Matrix. An matrix is a rectangular array of numbers with m rows and n columns.
Augmented matrix. The augmented matrix of a system of linear equations is a matrix whose entries are the coefficients of the variables in the system together with the constants.
Elementary row operations. For an augmented matrix of a system of linear equations, the following row operations will result in the matrix of an equivalent system:
Interchange any two rows.
Multiply any row by a nonzero constant.
Add a multiple of one row to another row.
Row-echelon form and reduced row-echelon form. The elementary row operations are used to transform ...
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