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Math Calculators

Matrix Calculator

Find the determinant of a 2×2 or 3×3 matrix.

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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

  1. 01Enter your a 2×2 or 3×3 matrix.
  2. 02Read the result instantly — it recalculates as you type.
  3. 03Adjust 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.

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