Linear Equations: Row and Column View
 This Demonstration was created to accompany the first chapters in G. Strang, Introduction to Linear Algebra, 3rd ed., Wellesley, MA: Wellesley–Cambridge Press, 2003. You can select examples of different types of systems of linear equations, or use the opener view and enter your own coefficients for the equations. In the row interpretation, any solution appears in red. If there is a single solution, the point is shown by a red dot. If the planes intersect on a common line, the solution is shown as a red line. If the equations are coplanar, the solution is shown as a red plane. In each case, look at the column view to see what the corresponding column vectors of the matrix  look like. If these column vectors lie on the same plane, the plane is shown in brown, and there is a solution only if the vector  lies on the same plane. If the column vectors are collinear, the line is shown as a dashed brown line, and there is a solution only if b lies on the same line.  "Linear Equations: Row and Column View" from The Wolfram Demonstrations Project http://demonstrations.wolfram.com/LinearEquationsRowAndColumnView/ Contributed by: George V. Woodrow III Inspired by: Klaus Michelsen | ||||||||||||||
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