Linear Algebra Definitions

Elementary row operations–

Row Echelon Form–

Reduced Row Echelon Form–

Coefficient matrix–

Augmented matrix–

Consistent system Inconsistent system–

Basic variable Free variable–

Homogeneous system Non-homogeneous system–

Parametric Vector Form–

Linear combination–

Trivial Non-trivial solution–

Linearly independent vectors Linearly dependent vectors–

Span of a set of vectors–

Transformation–

Domain Co-domain Range–

Linear transformation–

Onto–

One-to-One-