Determinant Calculator
Find the determinant of a 2x2 or 3x3 matrix.
Amortization schedule
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Showing first 12 of months.
Growth over time
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Introduction
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.
Formula
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).
Step-by-step
- 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.
Real-world example
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.
Frequently Asked Questions
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.
About the Determinant Calculator
The Determinant Calculator uses a real, verifiable formula — 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 accurate every time, not an approximation.