Algebra is one of the core subjects of mathematics. Algebra consists of the study of variables within number systems, along with operations that act on numbers and symbols. Wolfram|Alpha is a tremendous resource for solving equations; exploring polynomials; and studying fields, groups, vectors and matrices.
Solve equations in one or more variables both symbolically and numerically.
Solve a polynomial equation:
Solve a system of linear equations:
Solve an equation with parameters:
Compute discontinuities and other properties of rational functions.
Compute properties of a rational function:
Compute a partial fraction decomposition:
Perform computations with the quaternion number system.
Get information about a quaternion:
Do calculations with quaternions:
Find the domain and range of mathematical functions.
Compute the domain of a function:
Compute the range of a function:
Solve, plot and find alternate forms of polynomial expressions in one or more variables.
Compute properties of a polynomial in several variables:
Factor a polynomial:
Simplify algebraic functions and expressions.
Simplify an expression:
Discover properties of groups containing a finite number of elements.
Get information about a finite group:
Ask about a property of a group:
Do algebra with permutations:
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Find properties and perform computations on matrices.
Do basic arithmetic on matrices:
Compute eigenvalues and eigenvectors of a matrix:
Discover properties of fields containing a finite number of elements.