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math.matrix-determinant-2x2-3x3 Calculator
Calculates the determinant of a 2×2 or 3×3 matrix and checks whether the matrix is invertible (det ≠ 0). A zero determinant means the matrix is singular and the corresponding linear system has no unique solution.
Inputs
A11
Reference formula or conversion factor shown for context.
A12
Reference formula or conversion factor shown for context.
A21
Reference formula or conversion factor shown for context.
A22
Reference formula or conversion factor shown for context.
B Extra
Reference formula or conversion factor shown for context.
Results
2×2 determinant
A single number summarising key properties of a matrix. Non-zero: the system has a unique solution. Zero (singular matrix): no unique solution exists.
ad - bc
Reference formula or conversion factor shown for context.
invertible
Sample size or count used in the calculation.
trace = a₁₁ + a₂₂
Reference formula or conversion factor shown for context.
eigenvalue product = det
The result of multiplying all input values together.