2x2 Matrix Determinant Calculator

Calculate the determinant of a 2x2 square matrix.

Inputs

Element a (Row 1, Col 1)

-1,0001,000

Element b (Row 1, Col 2)

-1,0001,000

Element c (Row 2, Col 1)

-1,0001,000

Element d (Row 2, Col 2)

-1,0001,000

Calculation Results

Determinant

-14

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Formula & Mathematical Explanation

\det(A) = ad - bc

For a 2x2 matrix A with elements [[a, b], [c, d]], the determinant is computed as the product of the main diagonal elements (ad) minus the product of the opposite diagonal elements (bc).