7 calculators in this category
- Matrix Multiplication CalculatorRow-by-column (Cayley) matrix productEnter two matrices row by row and this calculator multiplies them, showing every entry of the answer as the explicit dot…
- Matrix Determinant CalculatorLaplace cofactor expansion and LU factorisationEnter a square matrix row by row and this calculator returns its determinant, expanded along the first row so you can follow…
- Matrix Inverse CalculatorGauss-Jordan elimination with partial pivotingEnter a square matrix and this calculator inverts it by row-reducing the augmented array [A | I] to [I | A⁻¹], the same…
- Eigenvalue & Eigenvector CalculatorCharacteristic polynomial det(A − λI) = 0Enter a 2×2 or 3×3 matrix and this calculator builds its characteristic polynomial, solves it exactly with the closed-form…
- Vector Dot Product & Angle CalculatorEuclidean inner productEnter two vectors in two or three dimensions and this calculator returns their dot product, each vector's length, the cosine of…
- Vector Cross Product CalculatorRight-handed Cartesian conventionEnter the three components of each vector and this calculator returns a × b , its magnitude, the unit normal it defines…
- Complex Number Calculator (Add, Multiply, Divide)Rectangular and polar (modulus-argument) formEnter two complex numbers as real and imaginary parts, pick an operation, and this calculator returns the answer in rectangular…
Which one do you need?
- Matrix Multiplication Calculator
- Multiply two matrices, a matrix by a vector, or raise a square matrix to a power. See every entry as its own row-times-column dot product, with a dimension check.
- Matrix Determinant Calculator
- Compute the determinant of any square matrix up to 5x5. See the cofactor expansion term by term, the LU pivot cross-check, the rank, and whether the matrix is singular.
- Matrix Inverse Calculator
- Invert a square matrix up to 4x4 by Gauss-Jordan elimination. Get A inverse entry by entry, the adjugate, the determinant, the condition number and an identity check.
- Eigenvalue & Eigenvector Calculator
- Find eigenvalues from the characteristic polynomial, the eigenvector for each one, both multiplicities, and whether your matrix diagonalises.
- Vector Dot Product & Angle Calculator
- Find the dot product, magnitudes, cosine similarity, included angle and the scalar and vector projection of one vector onto another, in 2D or 3D.
- Vector Cross Product Calculator
- Compute the 3D cross product of two vectors with its magnitude, unit normal, included angle and the parallelogram and triangle areas they span.
- Complex Number Calculator (Add, Multiply, Divide)
- Add, subtract, multiply or divide complex numbers and convert the answer to modulus-argument and exponential form, with every step of the conjugate method.