Eigenvalues and eigenvectors have many applications in both pure and applied mathematics. They are used in matrix factorization, quantum mechanics, facial recognition systems, and many other areas.
aɪ d̠ʒ ə n v æ l j uː z WORD_BOUNDARY æ n d WORD_BOUNDARY aɪ d̠ʒ ə n v ɛ k t ə ɹ z WORD_BOUNDARY h æ v WORD_BOUNDARY m ɛ n i WORD_BOUNDARY æ p l ɪ k eɪ ʃ ə n z WORD_BOUNDARY ɪ n WORD_BOUNDARY b oʊ θ WORD_BOUNDARY p j ʊ ɹ WORD_BOUNDARY æ n d WORD_BOUNDARY ʌ p l aɪ d WORD_BOUNDARY m æ θ ɪ m æ t ɪ k s WORD_BOUNDARY ð eɪ WORD_BOUNDARY ɑ ɹ WORD_BOUNDARY j uː z d WORD_BOUNDARY ɪ n WORD_BOUNDARY m eɪ t ɹ ɪ k s WORD_BOUNDARY f æ k t ə ɹ ɹ ɪ z eɪ ʃ ə n WORD_BOUNDARY k w ɔ n t ə m WORD_BOUNDARY m ɪ k æ n ɪ k s WORD_BOUNDARY f eɪ ʃ ə l WORD_BOUNDARY ɹ ɛ k ə ɡ n ɪ ʃ ə n WORD_BOUNDARY s ɪ s t ə m z WORD_BOUNDARY æ n d WORD_BOUNDARY m ɛ n i WORD_BOUNDARY ʌ ð ə ɹ ɹ WORD_BOUNDARY ɛ ɹ iə z WORD_BOUNDARY