Linear algebra Calculators

(Reduced) Row Echelon Form Calculator The (reduced) row echelon form calculator uses the Gauss (or Gauss-Jordan) elimination to find the solution of a system of up to three equations. Adjoint Matrix Calculator The adjoint matrix calculator will help you determine the adjugate of a square matrix. Characteristic Polynomial Calculator Characteristic polynomial calculator helps you determine the characteristic polynomial of any matrix of size 2×2, 3×3, or 4×4. Cofactor Expansion Calculator This cofactor expansion calculator shows you how to find the determinant of a matrix using the method of cofactor expansion (a.k.a. Laplace's expansion). Cofactor Matrix Calculator Discover how to find cofactors of any matrix with our user-friendly cofactor matrix calculator. Simplify matrix operations effortlessly! Column Space Calculator The column space calculator will quickly give you the dimension and generators of the column space corresponding to a given matrix of size up to 4x4. Condition Number Calculator The condition number calculator finds the condition number of a matrix. It supports the use of popular matrix norms and can find a 2×2 or 3×3 matrix's condition number. Corner Point Calculator This corner point calculator will solve a linear programming problem and find the corner points of the feasible region. Cramer's Rule Calculator The Cramer's rule calculator finds the solution to your system of equations and the values of the determinants used in the calculations. Diagonalize Matrix Calculator The diagonalize matrix calculator is an easy-to-use tool for whenever you want to find the diagonalization of a 2x2 or 3x3 matrix. Eigenvalue and Eigenvector Calculator The eigenvalue and eigenvector calculator finds the eigenvalues and eigenvectors for a 2x2 or 3x3 matrix. Gauss-Jordan Elimination Calculator The Gauss-Jordan elimination calculator transforms any given matrix into its (reduced) row echelon form to help you solve various matrix-related problems. Hadamard Product Calculator Understand what is Hadamard product and calculate the Hadamard product of vectors easily with our precise and efficient calculator. Just dive in! Inverse Matrix Calculator The inverse matrix calculator will check if the square matrix you give it has an inverse, and if it does, it will calculate it in a few easy steps. Linear Combination Calculator Linear combination calculator helps you solve a system of equations with the method of combining linear equations. Linear Independence Calculator The linear independence calculator is here to check whether your vectors are linearly independent and tell you the dimension of the space they span. Matrix Addition and Subtraction Calculator The matrix addition and subtraction calculator is a quick and easy-to-use tool to find the sum or difference of any two matrices with, at most, four rows and columns. Matrix by Scalar Calculator With this matrix by scalar calculator, you'll discover how to multiply a matrix by a number. Matrix Calculator Our matrix calculator will help you solve whatever matrix problem you have! Matrix Determinant Calculator The matrix determinant calculator is your fast and easy way to get the determinant of any square matrix of size 2×2, 3×3, or 4×4. Matrix Multiplication Calculator The matrix multiplication calculator is your little helper in finding the product of two matrices up to 3x3 in size. Matrix Norm Calculator The matrix norm calculator will produce the most common matrix norms for any matrix up to 3×3. Matrix Power Calculator The matrix power calculator will quickly give you the desired exponent of your 2×2, 3×3, or 4×4 matrix. If you need it, it will even tell you what its diagonalization is (if it exists). Matrix Rank Calculator The matrix rank calculator is an easy-to-use tool to calculate the rank of any matrix with up to four rows or columns. Matrix Trace Calculator With this matrix trace calculator, you can find the trace of any matrix up to 5×5, and learn everything there is about the trace of a matrix! Matrix Transpose Calculator The matrix transpose calculator is a quick and easy-to-use tool for your everyday matrix transpose needs. Null Space Calculator The null space calculator will quickly compute the dimension and basis of the null space of a given matrix of size up to 4x4. Singular Values Calculator With this singular values calculator, you'll quickly and easily learn how to find singular values of any matrix. Tensor Product Calculator With the tensor product calculator (Kronecker product calculator) you can discover the properties of matrix tensor product.