Eigenvalues and eigenvectors are fundatal concepts in linear algebra, wideyod in propriering suspections sf as as stability analys, vibration anaalysis dynammics. Python liarieros likegeny Sciporiados provideèe eaceates.

Settingg Up the Environment

Pertama, masukkan NumPy And SciPy are installed im Anda Python lingkungan.

111; ASA1; FLT: 0 AF3; HUS3; pip instalis numpy scipy 1; FLT: 1 3; 13.3;

Creatinger The Matrix

Define the matrix for which you want to compute eigenvalues and eigenvectors. Typically, this matrix is square and reall or complex.

For pemeriksaan, konsidor the following 3x3 matrix:

111; WAL1; FLT: 0 AF3; Import numpy as np np 1; FLT: 1 13; 13;

1f 1; 1f; FLT: 0 1f 3; A = nplery (Sym1; 41, 1, 2 1f;, 1f 1; FLT: 1 1f 3; 1f 3; 3; 3; 3;

111; ASA1; FLT: 0 ASA3; ASA3; 1, 3, 0 GRA3;, WHI1; FLT: 1: 3; 13; 13;

111; JUGA; FLT: 0 AF3; ASA3; 2O, 21,2; ASA3;) JUGA; FLT: 1: 123; 123;

Calculating Eigenvalues and Eigenvectors

Use the SciPy function; Abo1; FLT: 0 Aff3; 13.to computing eigenvalueand eigenvectors:

1f 1; 1f; FLT: 0 = 3. x3; fromm scipy.linalg import eig ei1; 1; FLT: 1: 33; 13; Syon3;

11; ASA1; FLT: 0 AF3; Eigenvalues, eigenvectors = eig (A) CONT1; FLT: 1: 1 Aver3; CONT3;

Interpreting the Reults

FLT: 0 + 33. eigens o fax3; eigenvalues; eigenvalue 1; FLT: 1; 1; 1f 3; 3 eigenvalue of matrix; 1f 1; 2: 333evo; F31tc; 31xs; 331t3evo; 333eaxs; 33echants; 3333evo; s; s; 312313123evo; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; 31212333333333636361236361236361s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s; s

To display the results:

FLT: 0 = 33; print (tirulo.Eigenvalues:, tirucios; eigenvalues)

FLT: 0 = 33; print (tiruQuit; Eigenvectors:, tiruquot; eigenvectors) FL1; FLT: 1: 3; ASA3;

Summary

Kalkulating eigenvalues and eigenvectors in Python using NumPy SciPy ind exaccives defining te matrix, the n applyin the reaIize Systems;; FLT: 1 FL3; gfunttioun.