Matrix Rank Calculator
Calculate matrix rank with explicit inputs and a worked example.
Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Floating-point arithmetic with partial pivoting. Near-singular matrices can be classified as singular; printed matrix entries use 12 significant digits.
Example Calculation
- Matrix: 1, 2; 2, 4
[[1,2],[2,4]] has rank 1.
Frequently asked questions
How do I use this calculator?
Enter matrix. The result updates automatically. Use Reset to restore the example values.
What method does it use?
Rank = number of independent nonzero pivots.. Floating-point arithmetic with partial pivoting. Near-singular matrices can be classified as singular; printed matrix entries use 12 significant digits.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.