Math Calculators

3×3 Matrix Determinant Calculator

Calculate 3×3 matrix determinant accurately with clear inputs, formulas, and supporting results.

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3×3 Matrix Determinant

3×3 Matrix Determinant Calculator

Determinant
Matrix status
Results are estimates for informational purposes. Verify critical calculations and project requirements independently.

Calculator Inputs and Outputs

Inputs

  • a₁₁ — example: 1
  • a₁₂ — example: 2
  • a₁₃ — example: 3
  • a₂₁ — example: 0
  • a₂₂ — example: 1
  • a₂₃ — example: 4
  • a₃₁ — example: 5
  • a₃₂ — example: 6
  • a₃₃ — example: 0

Results

  • Determinant
  • Matrix status

Formula used

det(A) = a(ei − fh) − b(di − fg) + c(dh − eg).

How to Use the 3×3 Matrix Determinant Calculator

Enter the requested values, confirm the units and assumptions, then select Calculate 3×3 Matrix Determinant. The default inputs provide a complete working example, and the supporting outputs help you verify the primary result.

Formula

det(A) = a(ei − fh) − b(di − fg) + c(dh − eg).

Understanding the Results

The primary answer appears first, followed by useful supporting values. Calculations retain additional internal precision before displayed values are rounded.

Accuracy Tips

  • Use consistent units and measured values.
  • Review whether the assumptions match your situation.
  • For estimates, include realistic waste, fees, efficiency, or contingency values where provided.

Important Note

This calculator is for informational estimation. Verify critical financial, health, construction, scientific, tax, legal, or safety decisions with an appropriately qualified professional.

Calculation Standards

This tool uses documented formulas and high-precision internal values. Displayed results may be rounded for readability. Review the assumptions and verify important decisions with a qualified professional.

Read our calculation methodology