AlgebraFree

4x4 Determinant Calculator

Calculate the determinant of a 4x4 matrix using a cofactor expansion approach with 3x3 minors.

Enter Values

a11

a12

a13

a14

a21

a22

a23

a24

a31

a32

a33

a34

a41

a42

a43

a44

Result

Enter values above and click Calculate to see your result.

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Formula

det(A) uses cofactor expansion along the first row with 3x3 minors.

The calculator computes the four 3x3 minors for the first row and applies alternating signs.

Worked Example

Enter a 4x4 matrix and the tool will compute the determinant and show key minor values.

Frequently Asked Questions

Why is 4x4 determinant harder?

The calculation involves multiple 3x3 minors or row reduction. Complexity increases quickly with matrix size.

What does a zero determinant mean?

It means the matrix is singular and not invertible.

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I can help you understand the 4x4 determinant calculator formula, interpret your results, and answer follow-up questions.

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