Math Calculators
Matrix Calculator
Find the determinant of a 2×2 or 3×3 matrix.
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Determinant
-42
Trace (diagonal sum)
4
Invertible?
Yes (det ≠ 0)
About the Matrix Calculator
Enter a 2×2 or 3×3 matrix and the calculator returns its determinant, its trace (the sum of the diagonal), and whether the matrix is invertible (determinant ≠ 0). The determinant is central to linear algebra — used for solving systems, finding inverses, and computing areas and volumes.
How to use the Matrix Calculator
- 1Enter your a 2×2 or 3×3 matrix.
- 2Read the result instantly — it recalculates as you type.
- 3Adjust the numbers to model different scenarios.
Frequently asked questions
What is a determinant?
A single number computed from a square matrix. A non-zero determinant means the matrix is invertible and its rows are linearly independent.
What does the trace tell me?
The trace is the sum of the diagonal entries — useful in eigenvalue and linear-algebra work.