Matrix Trace
Free Matrix Trace calculator with clear step-by-step results.
About Matrix Trace
The trace of a matrix is the sum of its main diagonal.
Formula
Formula
Trace = a11 + a22 (2×2 diagonal)
Worked example
With the default values below, Matrix Trace returns Trace of 5.00. Change any input above and every figure here is recalculated in your browser.
Inputs used
- a11
- 2
- a12
- 5
- a21
- 7
- a22
- 3
Results
- Trace
- 5.00
- a11
- 2.00
- a22
- 3.00
Step by step
- 1Values used
- 2Formula
- 3Trace= 5.00
- 4a11= 2.00
- 5a22= 3.00
Assumptions and limits
- The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 2 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How does this calculator work?
The trace of a matrix is the sum of its main diagonal.
Why does this matter?
Shown for a 2×2 matrix.