Exploring the Problem of Solving Systems of Linear Equations
A system of linear equations can be solved by using Cramer's Rule only if the number of equations is equal to the number of unknowns and the determinant of the coefficients is not equal to zero,and it can also be solved by using the inverse matrix method.And for a general system of linear equations,how to determine whether it has a solution,whether the solution is unique,and how to find its solution if the solution is not unique.The solu-tion of this problem is of great importance for both theory and practice.The following matrix is used as a tool to ex-plore the solution of general linear equations.
System of linear equationsCoefficient matrixBasic solutionGeneral solution
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