Ma kēia hoʻolaha, e noʻonoʻo mākou i ka wehewehe a me nā mea nui o kahi matrix me nā hiʻohiʻona, kona ākea, a hāʻawi pū i kahi moʻolelo pōkole e pili ana i ka hoʻomohala ʻana i ka manaʻo matrix.
Wehewehena Matrix
mua he ʻano pākaukau ʻāʻī i loaʻa nā lālani a me nā kolamu i loaʻa kekahi mau mea.
Nui matrix hoʻonohonoho i ka helu o nā lālani a me nā kolamu, i hōʻike ʻia e nā leka m и n, pakahi. Hoʻopili ʻia ka papaʻaina ponoʻī e nā pale pōʻai (he mau bracket square paha i kekahi manawa) a i ʻole hoʻokahi/ʻelua laina kū pololei.
Hōʻike ʻia ka matrix e kahi leka nui A, a me kahi hōʻailona o kona nui - Amn. Hōʻike ʻia kahi laʻana ma lalo nei:
Ka hoʻohana ʻana i nā matrices ma ka makemakika
Hoʻohana ʻia nā matrices e kākau a hoʻonā a i ʻole nā ʻōnaehana o nā hoohalike like ʻole.
Nā mea matrix
No ka hōʻike ʻana i nā mea o ka matrix, hoʻohana ʻia ka notation maʻamau aij, ma hea:
- i - ka helu o ka laina i loaʻa ka mea i hāʻawi ʻia;
- j – kēlā me kēia, helu kolamu.
No ka laʻana, no ka matrix ma luna:
- a24 = 1 (lālani ʻelua, kolamu ʻehā);
- a32 = 16 (lālani ʻekolu, kolamu ʻelua).
Nā Papa
Inā like nā mea a pau o ka lālani matrix me ka ʻole, a laila ua kapa ʻia kēlā lālani Yard (hōʻailona ʻia i ka ʻōmaʻomaʻo).
A i ʻole, ʻo ka laina ʻeleu ʻole (hōʻailona ʻia i ka ʻulaʻula).
Diagonal
Ua kapa ʻia ka diagonal i kaha ʻia mai ka ʻaoʻao hema o ka matrix a i ka ʻaoʻao ʻākau ka mea nui.
Inā kaha ʻia kahi diagonal mai ka ʻaoʻao hema a i ka ʻākau luna, ua kapa ʻia ia ka palekana.
Hōʻike hanana
"Magic Square" - ma lalo o kēia inoa, ua'ōlelo muaʻia nā matrices ma Kina kahiko, a ma hope aku i waena o nā mea makemakika Arab.
I ka makahiki 1751 ua paʻi ʻia ka mea makemakika Swiss ʻo Gabriel Cramer “Ke aupuni o Kramer”hoʻohana ʻia no ka hoʻoponopono ʻana i nā ʻōnaehana linear algebraic equations (SLAE). Ma kahi o ka manawa like, ua ʻike ʻia ke ʻano "Gauss" no ka hoʻoponopono ʻana i ka SLAE ma o ka hoʻopau ʻana i nā ʻano like ʻole (ʻo Carl Friedrich Gauss ka mea kākau).
ʻO kahi haʻawina koʻikoʻi i ka hoʻomohala ʻana i ke kumumanaʻo matrix i hana ʻia e nā mea makemakika e like me William Hamilton, Arthur Cayley, Karl Weierstrass, Ferdinand Frobenius a me Marie Enmond Camille Jordan. ʻO ka huaʻōlelo like "matrix" i ka makahiki 1850 i hoʻolauna ʻia e James Sylvester.