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Mathematics

Matrix 2×2 Calculator

Determinant, inverse, addition and multiplication of 2×2 matrices

2×2 Matrix Calculator

Operation
Matrix A
a₁₁
a₁₂
a₂₁
a₂₂

A 2×2 matrix is a rectangular array of four numbers arranged in 2 rows and 2 columns. Matrix operations including determinants, inverses, addition and multiplication are fundamental in linear algebra, computer graphics, and data science.

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Tip: A matrix has an inverse only when its determinant is non-zero.

Fun Fact

Matrix multiplication is non-commutative: A×B ≠ B×A in general — a key difference from scalar arithmetic.

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