Linear Helper

Math calculator to help in solving the problems of linear algebra.
The application is able to generate a split-second decision in detail any of the available tasks.
At the moment, the calculator can be used to:
  • adding / subtracting matrices;
  • calculate the determinant of the matrix;
  • finding the inverse matrix;
  • multiplication of a matrix by a number;
  • matrix-matrix multiplication;
  • matrix transposition;
  • finding the rank of a matrix;
  • research on the vectors of a linear relationship;
  • finding all databases of vectors;
  • study of the two systems of vectors for equality;
  • orthogonalization of vectors by the Gram-Schmidt.

A distinctive feature of the app is the ability to work with the matrix of from 1 to 9 inclusive, and systems of vectors, including vectors to 9 inclusive. The entire calculation process in detail is painted.

The application can use the following numbers:
  • Integers (-2, -1, 0, 1, 2, ...);
  • decimal (1.5, 3.14, ...);
  • common fractions (1/2, 3/4, 7/3, ...);
  • Complex numbers (i, 1 + i, 1/2 - 2i, 0.5 + 2 / 3i, ...).

In the near future plan to expand functionality of the application:
  • Bringing a quadratic form to canonical form by Lagrange;
  • Bringing a quadratic form to canonical form by Jacobi;
  • Jordan normal form of a matrix;
  • λ-matrix;
  • function of the matrix;
  • elements of analytic geometry.