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 .
There is a number of ways to compute determinants of square matrices depending on their dimensions.
Determinants of 2×2 and 3×3 matrices can simply be computed using their set formulas as seen below:
Determinants of 4×4 and higher matrices actually take advantage of determinants found for smaller square matrices using Cofactors as illustated below. As usual, nicely laid out with every step along the way until the final answer shows.
Download and further information on this Linear Algebra Made Easy app at
The step by step matrix operations, such as Row Echelon, Gauss Elimination etc are incredible
It is very easy to use;
I like the layout and on the Ti-spire since the processor is faster than the 89 it just makes it more enjoyable to use.
My linear algebra professor does allow us to use a CAS calculator and with the Ti-nspire cx CAS with your linear algebra app… Lets just say my fellow students and professor will be amazed with my knowledge and wisdom… and of course the speed at which I solve matrix operations and systems.