Matrix calculator
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Matrix calculatorSystem of equations calculatorDeterminant calculatorEigenvalues calculatorExamples of solvingsWikipedia:Matrices

Finding of eigenvalues and eigenvectors

This calculator allows to find eigenvalues and eigenvectors using the Characteristic polynomial.

Matrix A:
More:
,
  • Leave extra cells empty to enter non-square matrices.
  • You can use decimal fractions or mathematical expressions:
    • decimal (finite and periodic) fractions:
      1/3, 3.14, -1.3(56), or 1.2e-4
    • mathematical expressions:
      2/3+3*(10-4), (1+x)/y^2, 2^0.5 (=2), 2^(1/3), 2^n, sin(phi), cos(3.142rad), a_1, or (root of x^5-x-1 near 1.2)
    • matrix literals:
      {{1,3},{4,5}}
    • operators:
      +, -, *, /, \, !, ^, ^{*}, ,, ;, ≠, =, ⩾, ⩽, >, and <
    • functions:
      sqrt, cbrt, exp, log, abs, conjugate, min, max, gcd, rank, adjugate, inverse, determinant, transpose, pseudoinverse, cos, sin, tan, cot, cosh, sinh, tanh, coth, arccos, arcsin, arctan, arccot, arcosh, arsinh, artanh, and arcoth
    • units:
      rad, deg
    • special symbols:
      • pi, e, i — mathematical constants
      • k, n — integers
      • I or E — identity matrix
      • X, Y — matrix symbols
  • Use ↵ Enter, Space, ←↑↓→, ⌫, and Delete to navigate between cells, Ctrl⌘ Cmd+C/Ctrl⌘ Cmd+V to copy/paste matrices.
  • Drag-and-drop matrices from the results, or even from/to a text editor.
  • To learn more about matrices use Wikipedia.
Examples
  • Find eigenvectors of ({{-26,-33,-25},{31,42,23},{-11,-15,-4}})
Clean Cells or Share Insert in Use decimal keyboard on mobile phones Upload an image with a matrix (Note: it may not work well)
matri-tri-ca@yandex.ru
☕ Support
Thanks to:
  • Philip Petrov (https://cphpvb.net) for Bulgarian translation
  • Manuel Rial Costa for Galego translation
  • Shio Kun for Chinese translation
  • Petar Sokoloski for Macedonian translation
  • Duy Thúc Trần for Vietnamese translation
  • Rıfkı Kürşat Vuruşan for Turkish translation
  • Ousama Malouf and Yaseen Ibrahim for Arabic translation
  • Marcel Artz - improving of the German translation
  • Marc Gisbert Juàrez - fixing the translation into Catalan