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2x2 Matrix Determinant Calculator

Compute the determinant of a 2×2 matrix as a11·a22 − a12·a21. The result tells you whether the matrix is invertible and the signed area-scaling factor of the linear transformation it represents.

Element (1,1)

Element (1,2)

Element (2,1)

Element (2,2)

Linear Algebra

2x2 Matrix Determinant Calculator

Compute the determinant of any 2×2, 3×3, or 4×4 square matrix instantly. Use it to check invertibility, solve linear systems, or evaluate transformations in linear algebra.

Element (1,1)

Element (1,2)

Element (2,1)

Element (2,2)

Key differences

	2x2 Matrix Determinant Calculator	2x2 Matrix Determinant Calculator
Category	Linear Algebra	Linear Algebra
Inputs required	4	4
Result	Determinant	Determinant
What it does	Compute the determinant of a 2×2 matrix as a11·a22 − a12·a21. The result tells you whether the matrix is invertible and the signed area-scaling factor of the linear transformation it represents.	Compute the determinant of any 2×2, 3×3, or 4×4 square matrix instantly. Use it to check invertibility, solve linear systems, or evaluate transformations in linear algebra.