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Diagonalize Matrix Calculator

Result

Calculated result 3 Based on the values entered.
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Diagonalize Matrix Calculator (2×2) The Diagonalize Matrix Calculator finds the eigenvalues of a 2×2 matrix, the diagonal matrix D, and whether the matrix is diagonalizable. Enter the four entries. — free online calculator.

Formula

A = P·D·P⁻¹ where D holds the eigenvalues on its diagonal
  • Diagonalize Matrix Calculator calculates its result from Principal, D. It uses the formula A = P·D·P⁻¹ where D holds the eigenvalues on its diagonal. Change any input to recalculate the result instantly.
  • The main inputs are Principal, D. 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: Diagonalize Matrix

Inputs
  • Principal: 2
  • D: 3

Using Principal = 2, D = 3, the calculated result is 3.

Sample result: Calculating…

Frequently asked questions

What does the Diagonalize Matrix calculate?

Diagonalize Matrix Calculator (2×2) The Diagonalize Matrix Calculator finds the eigenvalues of a 2×2 matrix, the diagonal matrix D, and whether the matrix is diagonalizable. Enter the four entries. — free online calculator.

Which values should I enter?

Enter Principal, D using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: A = P·D·P⁻¹ where D holds the eigenvalues on its diagonal.

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