Linear Equations: Row and Column View
Linear Equations: Row and Column View
The fundamental question in linear algebra is determining if solutions exist for a set of linear equations . There are two ways to look at this problem. The first is the row view—treating the problem as finding the intersection of a set of planes defined by the equations. The second way is the column view—treating the problem as finding the solution of a linear combination of the column vectors of . This Demonstration illustrates the problem from either viewpoint.
A.x=b
A