Matrix Tools (Linear Algebra) description

Matrix Tools - Linear Algebra

-- Matrix Operations --
The Matrix Operations tool lets you do mathematical operations on matrices. You can add, multiply or substract matrices very easily.
The App will calculate the result only if your operation respects Matrices properties (eg: in an addition, matrices must be the same size).

-- Matrix Analysis --
The Matrix Analysis tool lets you have various information about a matrix. It calculates the determinant of the matrix, it gives you the echelon form of the matrix (using Gauss-Jordan method), it tells you if the matrix is linearly independant or not and it gives you the transposed matrix.

-- Augmented Matrix --
The Augmented Matrix tool lets you type and augmented matrix and solves the system for you. For that, the tool echelonate the matrix and solves it.
The augmented part of the matrix can be made of multiple columns wich can be realy helpful if you need to find the Change of Basis Matrix.

-- Vector Operations --
The Vector Operations tool lets you make operations on vectors, like addition, substraction, scalar product, vectorial product, vector projection and even get the angle between the vectors.
If the operation is not possible (eg: vectorial product in base 4+) an error message will be shown.

-- Vector Spaces --
The Vector Spaces tool lets you analyse a vector space, get it Basis, it orthogonal basis (using Gram-Schmidt method), and get it orthonormal basis.