Span of Vectors or Polynomials with the TiNspire using Linear Algebra Made Easy

To check if vectors span R^2, R^3 , .. just select “Span of Vectors” in the Menu of
the Linear Algebra Made Easy app at www.TiNspireApps.com  as shown below:

Next, enter Vectors as rows in matrix, use ; to end row(vector).

Using RREF to determine the rank of matrix we can conclude if
the vectors entered span R^2. Here they do.

Optionally, enter a vector in the 2. box to check if it part of the
span of the vectors entered in the 1. box .

Note: to view steps on the RREF computation, just enter the
vectors under the RREF option.

 

Similar to checking the SPAN of Vectors you can also check the
SPAN of polynomials by entering the polynomials coefficients
as row coefficients as shown below.
Optionally, enter a polynomial in the 2. box to check if it part of the
span of the polynomials entered in the 1. box .