6.2 Matrix Applications

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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