Thomas Anderson, uzwi nka Neo, ni umusore uba mu mujyi utazwi, akora nk’umuhanga mu ikoranabuhanga ku manywa, ariko nijoro akaba umuhanga mu kwinjira mu makuru y’ibanga (hacker). Neo ahora abona ubutumwa butangaje buvuga “The Matrix”, agatangira kwibaza ku kuri kw’isi abamo.

Umunsi umwe, Trinity, umugore w’intwari, amuhuza na Morpheus, umuyobozi w’abarwanya ikoranabuhanga ryamaze kwigarurira isi. Morpheus amubwira ko isi abamo ari ikinyoma cyubatswe n’imashini z’ubwenge bw’ubukorano, kandi ko Neo ashobora kuba “Uwo bategereje”—intwari izabohora abantu. Matrix ni isi y’ikinyoma, yaremwe n’imashini zifite ubwenge, aho abantu babaye ingufu z’amashanyarazi, batunzwe n’ibinyoma by’ikoranabuhanga. Neo ahitamo gufata “red pill”, imuti umukura mu kinyoma, akinjira mu isi nyayo.

Neo aratangira kwiga uko ashobora kugenzura Matrix, akamenya kurwana, gusimbuka mu kirere, no guhagarika amasasu. Arwana n’Agents, porogaramu zishinzwe kurinda Matrix, cyane cyane Agent Smith, umwanzi ukomeye.