行列式計算機

共有リンク

はじめに

Determinant Calculator — Find the determinant of a 2x2 or 3x3 matrix. Enter a11, a12, a13, a21, a22, a23, a31, a32, a33 to get an instant, accurate result.

計算式

2×2: det = ad−bc. 3×3: expanded along the first row via cofactor expansion, det = a(ei−fh) − b(di−fg) + c(dh−eg).

ステップごとの説明

Enter the a11.
Enter the a12.
Enter the a13.
Enter the a21.
Enter the a22.
Enter the a23.
Enter the a31.
Enter the a32.
Enter the a33.
Click Calculate to see your result instantly.

実例

Example: With a11 = 1, a12 = 2, a13 = 3, a21 = 0, a22 = 1, a23 = 4, a31 = 5, a32 = 6, a33 = 0, the Determinant Calculator gives Determinant: 1.

よくある質問

What does a determinant of 0 mean?

The matrix is singular (not invertible) — its rows/columns are linearly dependent.

What matrix sizes are supported?

2×2 and 3×3 matrices.

What inputs does the Determinant Calculator need?

You'll need to provide: a11, a12, a13, a21, a22, a23, a31, a32, a33. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.

How accurate is the Determinant Calculator?

The Determinant Calculator applies the formula exactly as calculated — 2×2: det = ad−bc. 3×3: expanded along the first row via cofactor expansion, det = a(ei−fh) − b(di−fg) + c(dh−eg). — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.

Is the Determinant Calculator free to use?

Yes, the Determinant Calculator is completely free, requires no signup, and runs instantly in your browser.