Vector Base Calculator

With this application you may:

1) Check if two vectors form a base of R2.

2) Check if three vectors form a base of R3.

3) Check if four vectors form a base of R4.

4) Write rational numbers as fractions (in case that you want that a component of the vector to be a rational number).

5) See a detailed and mathematical description of the steps that led to that result.

When you check if two vectors form a base of R2, the application will check if those vectors are parallel.

When you check if three vectors form a base of R3, the application will check if the mixed product of those vectors is equal to zero.

When you check if four vectors form a base of R4, the applicacion will:

1) Write the vectorial equation.

2) Rewrite the vectorial equation as a matrix and solve it by the Gauss' method.

3) Obtain the echelon matrix and check if it has a null row.

The application suppors English and Spanish languages.