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Free online matrices calculators. Fast, accurate, and always free to use.
Use our free matrix calculator to perform matrix operations: addition, subtraction, multiplication, determinant, transpose, and inverse — all in one tool.
Use our free matrix addition calculator to add two matrices of the same dimensions. Shows element-wise sums and the commutative property.
Use our free matrix subtraction calculator to subtract one matrix from another. Both must have the same dimensions.
Use our free matrix multiplication calculator to multiply two matrices. The number of columns in A must equal the number of rows in B.
Use our free matrix determinant calculator to compute the determinant of any square matrix, with step-by-step expansion for 2×2 and 3×3 matrices.
Use our free matrix inverse calculator to find A⁻¹ for any invertible square matrix. Includes verification (A×A⁻¹=I) and step-by-step cofactor/adjugate method.
Use our free matrix rank calculator to find the rank of any matrix, view the RREF, and determine linear dependence of rows and columns.
Use our free matrix transpose calculator to transpose any matrix, verify the double-transpose property (Aᵀ)ᵀ = A, and check if the matrix is symmetric or skew-symmetric.
Use our free matrix eigenvalue calculator to compute the eigenvalues of 2×2 and 3×3 matrices via the characteristic polynomial, with trace, determinant, and polynomial display.
Use our free matrix eigenvector calculator to find the eigenvectors of 2×2 and 3×3 matrices for each real eigenvalue, solving (A − λI)v = 0.
Addition, subtraction, multiplication, and division calculators.
Simplify, compare, and calculate with fractions.
Decimal conversion, rounding, and arithmetic calculators.
Calculate powers, square roots, and nth roots.
Solve equations, inequalities, and algebraic expressions.
Area, volume, perimeter, and shape calculators.
Sine, cosine, tangent, and trigonometric functions.
Mean, median, mode, standard deviation, and more.
Prime numbers, factorization, factors, multiples, and LCM calculators.
Binary, decimal, and hexadecimal converters and arithmetic.
Arithmetic and geometric sequences and series.
Derivatives, integrals, and limits calculators.
Complex number arithmetic and conversions.
Vector operations, eigenvalues, and linear systems.
Round numbers to specified precision and significant figures.
Odd math tools and general-purpose calculators.