LINEAR ALGEBRA PLUS is surprisingly intuitive and easy to use. In the link to the website at the end of this text there are videos with examples of the use of all its capabilities, in which its simplicity and speed of handling can be proven. A medium or long pressure on the solution is enough to show the steps followed.
It allows you to save all calculations to a LaTex file so that it can be converted to a pdf document or inserted into another document.
WITHOUT ADS

DIES:

Stores up to 8 matrices (with a maximum of 10 rows and columns) in variables A, B, …, X, which can be used in the following calculations. Calculate the rank, determinant and inverse matrix of each of the recorded matrices. It also allows to solve the matrix expressions between them (A * (B ^ (- 1) -3A)
and show all the steps. Obtain the lower triangular matrix, even with one parameter, showing the steps of the Gauss method. It also studies the rank, the determinant and the inverse of the matrices depending on a parameter.

SYSTEMS OF LINEAR EQUATIONS:

Classify (determined compatible / indeterminate and incompatible) and solve systems up to 10 equations and unknowns, depending or not on a parameter. Displays the steps to solve the system (Gaussian and inverse matrix methods and Cramer’s rule).

SLEEPING:

Diagonalize endomorphisms, obtaining its characteristic polynomial, invariants and base change matrices (P y P? ¹).

POLYNOMS:

Stores up to 8 polynomials (maximum degree 9) in variables A, B, …, P, which can be used in the following calculations. The polynomials are factored and it allows to calculate their rational and real roots. Solve expressions with polynomials (p ^ 3 * (2p-q ^ 2)), which can solve a wide range of equations. He divides the polynomials and he explains all the steps in between as it would be done manually.
It shows all the steps necessary to factorize a polynomial without more than a long click on the solution.

3D GEOMETRY:

It allows to record geometric elements in space (points, vectors, lines and planes) and to obtain new geometric elements (“line which contains a point and is perpendicular to a plane”, “symmetrical of a point with respect to a straight line “…) or perform calculations with them (intersections, distances, relative positions, angles,
vector base change …). By making a long press on the screen, it shows all the necessary steps to obtain the solutions (by various methods when possible).

2D GEOMETRY:

It makes it possible to record geometric elements in space (points, vectors and lines) and to obtain new geometric elements (“Line which contains a point and is perpendicular to a line”, “Symmetric of a point with respect to a straight line “…) or perform calculations with them (intersections, distances, relative positions, angles,
vector base change …). By making a long press on the screen, it shows all the necessary steps to obtain the solutions.

MORE INFORMATION:

WEBSITE: https://drive.google.com/open?id=0B5-EDC_0R_mHUF96bmNfZWtwMWM