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Matrix Transpose (2×2) Matrix Transpose (2×2) is a fast, free math calculator

Result

01
13
22
34
↗ Math

Matrix Transpose (2×2) Matrix Transpose (2×2) is a fast, free math calculator. Enter A[1,1], A[1,2] and A[2,1] to get an instant, accurate result — complete with the formula, a step-by-step worked example, and answers to common questions, all on one page — free online calculator.

Formula

2×2 matrix operation using the entered coefficients.
  • Matrix Transpose (2×2) Matrix Transpose (2×2) is a fast, free math calculator calculates its result from a11, a12, a21, a22. It uses the formula 2×2 matrix operation using the entered coefficients.. 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: Matrix Transpose (2×2) Matrix Transpose (2×2) is a fast, free math

Inputs
  • a11: 1
  • a12: 2
  • a21: 3
  • a22: 4

Using a11 = 1, a12 = 2, a21 = 3, a22 = 4, the calculated result is [1, 3, 2, 4].

Sample result: Calculating…

Frequently asked questions

What does the Matrix Transpose (2×2) Matrix Transpose (2×2) is a fast, free math calculate?

Matrix Transpose (2×2) Matrix Transpose (2×2) is a fast, free math calculator. Enter A[1,1], A[1,2] and A[2,1] to get an instant, accurate result — complete with the formula, a step-by-step worked example, and answers to common questions, all on one page — 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: 2×2 matrix operation using the entered coefficients..

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.

Page information

Updated: October 7, 2026