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Determinant of a matrix This online calculator computes determinant of a matrix, using it's definition |

Matrix Transpose The transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing another matrix, often denoted by Aᵀ |

Matrix Multiplication Matrix Multiplication |

Inverse matrix calculator This online calculator finds inverse matrix via adjugate matrix |

Solution of nonhomogeneous system of linear equations using matrix inverse The solution of a nonhomogeneous system of linear equations using matrix inverse |

Matrix Rank This online calculator determines the rank of a given matrix |

Matrix triangulation calculators Matrix triangulation using Gauss and Bareiss methods. |

Modular inverse of a matrix This calculator finds the modular inverse of a matrix using adjugate matrix and modular multiplicative inverse |

Hill cipher This calculator uses Hill cipher to encrypt/decrypt a block of text. |

Cramer's Rule This online calculator solves system of linear equations using Cramer's rule and shows detailed steps of the solution |

Collinearity This online calculator finds if points are collinear given their coordinates |

Characteristic polynomial This online calculator calculates coefficients of characteristic polynomial of a square matrix using Faddeev–LeVerrier algorithm |

Eigenvalue calculator This online calculator computes the eigenvalues of a square matrix up to the fourth degree by solving the characteristic equation. |

Eigenvector calculator This online calculator computes the eigenvectors of a square matrix up to the 4th degree. |

Reduced Row Echelon Form (RREF) of a matrix calculator This online calculator reduces a given matrix to a Reduced Row Echelon Form (rref) or row canonical form, and shows the process step-by-step |

Determinant by Gaussian elimination Finding matrix determinant using Gaussian elimination in complex, rational or real numbers. |

Random matrix generator This online calculator generates a random matrix with specified parameters like a dimension, a range of values, a type of numbers |

Decomposition of a square matrix into symmetric and skew-symmetric matrices This online calculator decomposes a square matrix into the sum of a symmetric and a skew-symmetric matrix. |