2x2 Determinant Calculator

Calculate the determinant of a 2x2 matrix using the ad minus bc formula. Useful for invertibility checks and linear algebra.

Enter Values

a (row 1, col 1)

b (row 1, col 2)

c (row 2, col 1)

d (row 2, col 2)

Enter values above and click Calculate to see your result.

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det([[a, b], [c, d]]) = ad - bc

Multiply the main diagonal (a times d), subtract the product of the anti diagonal (b times c).

Matrix [[2, 3], [1, 4]]. det = 2 x 4 - 3 x 1 = 8 - 3 = 5.

A nonzero determinant means the matrix is invertible. A zero determinant means it is singular and has no inverse.

Yes. Determinants appear in methods like Cramer’s rule and in invertibility checks.

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