Matrix Determinant (2×2) Calculator
Compute the determinant of a 2×2 matrix [[a, b], [c, d]] = ad − bc, with a quick singularity flag.
Calculators and explainers tagged under Algebra.
Compute the determinant of a 2×2 matrix [[a, b], [c, d]] = ad − bc, with a quick singularity flag.
Solve a proportion a/b = c/d for any one of the four values, given the other three.
Solve ax² + bx + c = 0 with real or complex roots, showing the discriminant along the way.
Find one real root of a depressed cubic t³ + p·t + q = 0 using Cardano's formula in the discriminant-positive case (Δ =...
Project a quantity that grows continuously at a constant rate r over time t, using the standard exponential growth model...
Find the greatest common factor (also called GCD) of any list of whole numbers using the Euclidean algorithm.
Solves a system of two linear equations ax+by=e, cx+dy=f using Cramer's Rule. Computes the main determinant D and soluti...
Solve for a missing term in a proportion, simplify ratios, or scale one ratio up or down.
Convert any decimal — terminating or repeating — into its simplest fraction form with a short explanation.
Solves a quadratic equation ax² + bx + c = 0, reporting the discriminant Δ = b² − 4ac and both roots (real or complex ma...
Get the remainder and quotient of integer division — the building block of modular arithmetic.
Compute the remaining quantity after time t for an exponentially decaying process N(t) = N₀ · e⁻ᵏᵗ, plus the half-life.
Compute powers of any base, including negative and fractional exponents, with full decimal precision.
Solve a 2×2 system of linear equations { a₁x + b₁y = c₁ ; a₂x + b₂y = c₂ } using Cramer's rule, with a determinant check...
Compute the logarithm of any positive number in any base — change-of-base formula included.
Find the least common multiple of two or more whole numbers, with the full prime-factor breakdown.
Find the nth root of any positive number — square roots, cube roots, and any custom n you choose.
Solve a single linear equation of the form ax + b = c for the unknown x, including a clear "no solution / infinite solut...
No articles have been tagged with this topic yet.