Finding of eigenvalues and eigenvectors
This calculator allows to find eigenvalues and eigenvectors using the Characteristic polynomial.
- Leave extra cells empty to enter non-square matrices.
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You can use decimal fractions or mathematical expressions:
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decimal (finite and periodic) fractions:
1/3,3.14,-1.3(56), or1.2e-4 -
2/3+3*(10-4),(1+x)/y^2,2^0.5 (=),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,arg,min,max,gcd,rank,adjugate,inverse,determinant,transpose,pseudoinverse,trace,cos,sin,tan,cot,cosh,sinh,tanh,coth,arccos,arcsin,arctan,arccot,arcosh,arsinh,artanh,arcoth,derivative,factor, andresultant -
units:
rad,deg -
special symbols:
pi,e,i— mathematical constantsk,n— integersIorE— identity matrixX,Y— matrix symbols
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- Use ↵ Enter, Space, ←↑↓→, Backspace, 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.