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MatrixLab
Determinant of a 2×2 matrix in one step.
For a 2×2 matrix, the determinant (ad − bc) tells you how much the matrix scales area when used as a transformation — a determinant of zero means the transformation squashes everything flat, losing a dimension.
A matrix only has an inverse if its determinant is non-zero — this single number is the fastest way to check whether a system of linear equations has a unique solution.
2×2 matrix determinant
Determinant
-2
det = ad − bc
What you entered
Multiply the main diagonal
1 × 4= 4Multiply the anti-diagonal
2 × 3= 6Subtract
4 − 6= -2Result
Determinant: -2
The determinant is -2 — non-zero, meaning this matrix is invertible.