#Type/Definition #Topic/Linear_Algebra

Types: N/A
Examples: N/A
Constructions: 12.9 Determine Solution Validity for NLSP
Generalizations: 12.1 The Square Linear-Systems Problem

Properties: N/A
Sufficiencies: N/A
Questions: N/A

Solution Set to Square Linear-Systems Problem

Suppose we are given a linear-systems problem

Ax→=b→

with A∈Rn×n and b→∈Rn. Then the solution set to this linear system is the set of all possible x→∈Rn that solves our general linear system. The solution set is given by

{x→∈Rn:Ax→=b→}