Algebra Calculators: Equations, Matrices and Sequences
These calculators solve the algebra you meet at school, college and work. Solve a quadratic with the formula, find where two lines cross, multiply or invert a matrix, or work out the nth term of a sequence.
Where it helps, the working is shown, including the discriminant for quadratics and the steps for simultaneous equations.
Quadratic Equation SolverSolve ax² + bx + c = 0 with the quadratic formula, with the discriminant, exact roots, the vertex and the working.Linear Equation SolverSolve a linear equation such as 3x + 4 = x + 10 for x, with every step and an exact fraction answer.Simultaneous Equations SolverSolve two equations with two unknowns, or three equations with three, with exact answers and a check for no solution.Cubic Equation SolverSolve ax³ + bx² + cx + d = 0 for all three roots, real and complex, with exact roots when they are rational.Matrix CalculatorAdd, subtract and multiply matrices up to 4 by 4, and find a determinant, inverse, transpose, trace, rank or power, with exact fractions.Vector CalculatorAdd and subtract vectors, and find the dot product, cross product, magnitude, angle, unit vector and projection.Arithmetic Sequence CalculatorFind any term and the sum of an arithmetic sequence, or work out the first term and common difference from two known terms.Geometric Sequence CalculatorFind any term, the sum of the first n terms and the sum to infinity of a geometric sequence.Complex Number CalculatorAdd, subtract, multiply and divide complex numbers, and find the modulus, argument, conjugate, square root and powers.Equation of a Line and Slope CalculatorFind the equation, slope, angle, percentage grade and intercepts of a straight line from two points, a point and a slope, or a general equation.Distance and Midpoint CalculatorFind the distance between two points and their midpoint in two or three dimensions, or find the other end of a line from one end and the midpoint.
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