Pseudoinverse Calculator
Result
Matrix Pseudoinverse (2x2) Calculate Moore-Penrose pseudoinverse for 2x2 matrix. Formula: A+ = (A^T · A)^(-1) · A^T. Used for solving least-squares problems. — free online calculator.
Formula
- Pseudoinverse Calculator calculates its result from a11, a12, a21, a22. It uses the formula Pseudoinverse via (A^T A)^(-1) A^T (simplified for 2x2). Change any input to recalculate the result instantly.
- The main inputs are a11, a12, a21, a22. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Pseudoinverse
- a11: 1
- a12: 2
- a21: 3
- a22: 4
Using a11 = 1, a12 = 2, a21 = 3, a22 = 4, the calculated result is [-2, 1, 1.5, -0.5].
Sample result: Calculating…
Frequently asked questions
What does the Pseudoinverse calculate?
Matrix Pseudoinverse (2x2) Calculate Moore-Penrose pseudoinverse for 2x2 matrix. Formula: A+ = (A^T · A)^(-1) · A^T. Used for solving least-squares problems. — free online calculator.
Which values should I enter?
Enter a11, a12, a21, a22 using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Pseudoinverse via (A^T A)^(-1) A^T (simplified for 2x2).
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.