6.2.1 Solving Linear Equations with Matrices

 

• Note: if the determinant of a matrix is 0, the matrix is singular and there is no solution for the linear equations

 

 

• In Scilab,

 

 

 

• We can solve systems of equations using the inverse matrix,

 

 

• We can solve systems of equations using Cramer’s rule (with determinants),

 

 

6.2.2 Gauss-Jordan Row Reduction

 

• In many ways Gauss-Jordan is a form of substitution based upon rearranging equations into an upper-right triangular form.

• The general method works top to bottom ......

 

 

 

6.2.3 Cramer’s Rule

 

 

 

 

 

 

 

6.2.4 Triple Product

 

 

 

6.2.5 Gauss-Siedel