Makemakika Kula Kiʻekiʻe

Hoʻohui a me ka Hoʻemi ma waena o nā Matrices Hoʻolauna ʻO ka matrix kahi hōʻiliʻili o nā helu i hoʻonohonoho ʻia i nā lālani a me nā kolamu. Hoʻohana ʻia nā Matrices i nā ʻano aʻo like ʻole, me ka makemakika, ka physics, ka hoʻokele waiwai, a me ka ʻepekema kamepiula. ʻO kekahi o nā hana kumu e hiki ke hana ʻia me nā matrices ʻo ia ka hoʻohui a me ka hoʻemi. ʻO kēia nā hana kumu i hoʻohana pinepine ʻia e hoʻoponopono i nā pilikia paʻakikī ma nā ʻano like ʻole… E heluhelu hou aku

ʻO ke ʻano like o ka Matrix: Kumumanaʻo a me nā noi ma ka makemakika a me ka ʻepekema kamepiula ʻO nā matrices kahi manaʻo nui i ka makemakika a me ka ʻepekema kamepiula, i hoʻohana pinepine ʻia e hōʻike i ka ʻikepili, hana i nā hoʻololi linear, a hana i nā hana like ʻole. Ma kēia ʻano, he mea nui e hoʻomaopopo i ke kumumanaʻo o ke ʻano like o ka matrix, nona nā noi ma nā ʻano like ʻole e like me ka hana kiʻi, ka nānā ʻana i ka ʻikepili, … E heluhelu hou aku

ʻAno o nā Matrices ʻO ka matrix kahi hoʻonohonoho o nā helu a i ʻole nā ​​​​​​mea i nā lālani a me nā kolamu i hoʻonohonoho ʻia i kahi ʻano huinahā a huinahā paha. ʻO nā matrices kahi manaʻo nui i ka makemakika i hoʻohana ʻia ma nā ʻano like ʻole e like me ka physics, statistics, computer science, a me ka ʻenekinia. Ma kēia ʻatikala, e ʻimi mākou i nā ʻano matrices like ʻole i hoʻohana pinepine ʻia ma… E heluhelu hou aku

ʻO ke Kumumanaʻo Matrix: Mai nā Kumu a i nā Hana Hoʻolauna: ʻO nā Matrices kahi manaʻo kumu i ka makemakika me nā noi ākea ma nā ʻano like ʻole e like me ka physics, hoʻokele waiwai, ʻenekinia, ʻepekema kamepiula, a me nā mea hou aku. Aia kēia ʻano makemakika i kahi pūʻulu huinahā o nā helu a i ʻole nā ​​​​mea i hoʻonohonoho ʻia i nā lālani a me nā kolamu. Ma kēia ʻatikala, e kūkākūkā mākou i nā manaʻo kumu o nā matrices… E heluhelu hou aku

Nā ʻIke Polynomial: Ke Keʻena nei i kā lākou mau Waiwai a me nā Hana Hoʻolauna ʻO nā ʻike polynomial kahi manaʻo nui i ka algebra nona nā noi koʻikoʻi he nui i ka makemakika a me nā ʻepekema ʻē aʻe. Kōkua ke aʻo ʻana i nā ʻike polynomial iā mākou e hoʻomaopopo i nā waiwai nui o nā polynomials a pehea lākou e launa pū ai. Hōʻike kēia ʻatikala i nā kikoʻī he aha nā ʻike polynomial, ko lākou mau waiwai, kekahi mau hiʻohiʻona koʻikoʻi, a me kā lākou mau hana… E heluhelu hou aku

Nā Kumu a me nā Zero o nā Polynomials: He manaʻo koʻikoʻi nā Polynomials i ka makemakika, i loaʻa pinepine ʻia ma nā ʻano ʻepekema a me ka ʻenehana like ʻole. Ma kona ʻano laulā loa, ʻo ka polynomial kahi hōʻike algebraic i haku ʻia me nā huaʻōlelo i hoʻokumu ʻia e nā loli, nā coefficients, a me nā exponents o nā loli i hāpai ʻia i nā helu helu ʻole maikaʻi ʻole. Ma kēia ʻatikala, e kūkākūkā mākou i ʻelua… E heluhelu hou aku

Hoʻohui, Hoʻemi, a me ka Hoʻonui ʻana o nā Polynomials He manaʻo nui nā polynomials i ka algebra a hoʻohana ʻia e hoʻoponopono i nā pilikia makemakika he nui. ʻO ka polynomial kahi hōʻike i haku ʻia me nā loli a me nā coefficients, i hui pū ʻia me ka hoʻohana ʻana i nā hana o ka hoʻohui, ka hoʻemi, a me ka hoʻonui. Ma kēia ʻatikala, e kūkākūkā mākou i ka hoʻohui, ka hoʻemi, a me ka hoʻonui ʻana o nā polynomials me ka hohonu, a me ka hāʻawi ʻana i nā laʻana paʻa… E heluhelu hou aku

Nā Polynomials a me nā Hana Polynomial ʻO nā polynomials kahi manaʻo nui i ka algebra nona nā noi ākea ma nā ʻano ʻepekema like ʻole, e like me ka makemakika, physics, hoʻokele waiwai, a me ka ʻenekinia. Ma kēia ʻatikala, e wehewehe hohonu mākou i ke ʻano o nā polynomials, nā ʻano polynomials like ʻole, pehea lākou e hana ai, a me nā noi o nā hana polynomial i ke ola o kēlā me kēia lā. Ke hoʻomaopopo nei i nā Polynomials: I ka ʻōlelo maʻalahi, nā polynomials… E heluhelu hou aku

ʻO Conjugate, Modulus, a me ka hoʻopaʻapaʻa o nā helu paʻakikī a me kā lākou mau waiwai Hoʻolauna ʻO nā helu paʻakikī kahi manaʻo makemakika i hoʻolauna ʻia e hoʻonui i ka ʻike o nā helu. I ke ao maoli, nui nā kaulike, e like me \(x^2 + 1 = 0\), ʻaʻohe hopena. Eia nō naʻe, me nā helu paʻakikī, hiki iā mākou ke loaʻa nā hopena i kēlā mau kaulike. He mea pono loa nā helu paʻakikī i nā ʻano like ʻole... E heluhelu hou aku

Nā Hana ma nā Helu Paʻakikī ʻO nā helu paʻakikī kahi manaʻo makemakika e hoʻohui i nā helu maoli a me nā helu hoʻokalakupua. He mea nui lākou i nā lālā he nui o ka ʻepekema, me ke kino, ka ʻenekinia, a me ka makemakika ponoʻī. Ma kēia ʻatikala, e ʻimi mākou i nā hana like ʻole e hiki ke hana ʻia ma nā helu paʻakikī, me ka hoʻohui, ka unuhi, ka hoʻonui, ka mahele, a me nā mea hou aku. Ke hoʻomaopopo nei… E heluhelu hou aku