3x3 Determinant Calculator

Calculate the determinant of a 3x3 matrix using cofactor expansion. Useful for invertibility and volume scaling in linear algebra.

Enter Values

a11

a12

a13

a21

a22

a23

a31

a32

a33

Enter values above and click Calculate to see your result.

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det(A) = a(ei - fh) - b(di - fg) + c(dh - eg)

Expand along the first row using 2x2 minors and alternating signs.

Matrix [[1, 2, 3], [0, 4, 5], [1, 0, 6]]. Compute minors and apply the expansion to get the determinant.

A 3x3 matrix is invertible if its determinant is not zero.

No. You can also use row reduction, LU decomposition, or other methods. This calculator uses a standard expansion approach.

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