The following operations are available in this matrix calculator:
- Solving systems of linear equations using:
★ Gaussian elimination
★ Cramer's rule
★ Gauss-Jordan
★ The inverse matrix method
★ Montante (Bareiss algorithm)
- Finding the determinant of a matrix using:
★ Decomposition
★ Reduction to triangular form
★ Montante (Bareiss algorithm)
★ Sarrus' rule (only for a 3x3 matrix)
- Finding the inverse of a matrix using:
★ Gaussian elimination
★ Gauss-Jordan
★ Algebraic complements
★ Montante (Bareiss algorithm)
- Finding the rank of a matrix using:
★ Elementary transformations
★ Bordering minors
- QR decomposition:
★ Gram–Schmidt
★ Householder reflections
★ Givens rotation
- Polar decomposition;
- The square root of the matrix;
- Singular value decomposition;
- Eigenvalues
- Eigenvectors
- Eigendecomposition(matrix diagonalization)
- Matrix minor
- Matrix cofactor
- Matrix adjoint
- LU decomposition
- Schur Decomposition
- Cholesky decomposition
- Solving matrix equations
- Raising a matrix to a power
- Multiplying a matrix by a number
- Matrix transposition
- Matrix multiplication
- Matrix subtraction
- Matrix addition

App Features
- Custom keyboard for more convenient data entry;
- Complete, step by step description of solutions;
- Ability to save solutions;
- Ability to edit saved solutions
- Works without internet access
- Presents solutions as ordinary and decimal fractions

web version - https://matrix-operations.com

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Adde following methods:
- Polar decomposition;
- The square root of the matrix;
- Singular value decomposition;