AlgebraFree

Matrix Determinant Calculator

Compute the determinant for a 2x2, 3x3, or 4x4 matrix using grid inputs. Includes an invertibility check.

Enter Values

Matrix Size

a11

a12

a13 (3x3, 4x4)

a14 (4x4)

a21

a22

a23 (3x3, 4x4)

a24 (4x4)

a31 (3x3, 4x4)

a32 (3x3, 4x4)

a33 (3x3, 4x4)

a34 (4x4)

a41 (4x4)

a42 (4x4)

a43 (4x4)

a44 (4x4)

Result

Enter values above and click Calculate to see your result.

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Formula

Determinant computed via cofactor expansion on the selected size.

Choose a size and enter the matrix values. The calculator builds the matrix and computes the determinant using a standard expansion method.

Worked Example

Select size 3, enter the 3x3 values, and compute the determinant.

Frequently Asked Questions

How many inputs do I need?

For 2x2 use a11, a12, a21, a22. For 3x3 use the first nine entries. For 4x4 fill all sixteen entries.

What does invertible mean here?

Invertible means the determinant is not zero.

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