Equations, polynomials, and algebra tools
Find the null space (kernel) of any matrix up to 6×6: get a basis for N(A), the nullity, the rank, and the rank-nullity theorem.…
Row-reduce any matrix to reduced row echelon form (RREF) or row echelon form (REF). Choose Gauss-Jordan or Gauss elimination,…
Find the power set of any set — the collection of all its subsets, including the empty set and the set itself. Enter your…
Solve quadratic inequalities like ax² + bx + c > d by graphing the parabola — no quadratic formula stress. Enter the coefficients…
Multiply two linear binomials (a₁x + a₀)(b₁x + b₀) and get the expanded quadratic step by step. Shows the 2×2 box method…
Multiply two binomials step by step with the FOIL method (First, Outer, Inner, Last). Shows each of the four partial products,…
Find the discriminant of any polynomial from degree 2 to 5. See what its value and sign reveal about the roots — repeated,…
Observe two variables that are inversely proportional. Find the constant of variation k = x·y, solve for y or x from the…
Solve basic operations with complex numbers instantly. Enter two numbers z₁ = a + bi and z₂ = c + di to get their sum, difference,…
Solve linear inequalities in x and graph them on a number line with open and closed circles. Handles one- and two-sided inequalities,…
Compute the Gaussian error function erf(x), the complementary error function erfc(x), and their inverses erf⁻¹ and erfc⁻¹…
Divide one polynomial by another and get the quotient and remainder, a full step-by-step long division, exact fraction results,…
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