Matrix

Smith was significantly more individualistic than other agents from the start, being more intellectual, emotional, and destructive. Other agents rarely acted without consulting each other via their earpieces, though Smith used his far more often to issue orders or gather information before acting on his own. It's worth noting that when interrogating Morpheus, Smith asked his colleagues to leave the room and then removed his speaker, severing communication with the agents, before expressing his opinions on humanity and the Matrix. Ironically, by removing his earpiece, he missed information about Neo and Trinity breaking into the building.
During Morpheus's interrogation, Smith also claimed to secretly despise the Matrix itself, calling it a "zoo" and desperately trying to escape, feeling as if he were as much a prisoner within it as the humans he was tasked with monitoring. His personal hatred for humans was unlike that of the agents. Smith later developed a profound desire to destroy both humanity and the machines.

Smith was created as the leader of the first agents. Like other agents, Smith's role was to guard and maintain order within the Matrix, eliminating potential threats to the system's stability, such as awakened humans and defective programs.

He first appears alongside Agent Brown in pursuit of Trinity. He is then ordered to capture the computer hacker Neo. After a brief interrogation, in which Smith suggests Neo be handed over to Morpheus's agents, he bugs Thomas and sends him home.

Agent Smith was used as a model in the Agent Evasion Program that Neo trained in.

A short time later, Smith made a deal with Cypher, who hated Morpheus. He was to frame him and hand him over to the agents. When the Nebuchadnezzar crew headed to the Oracle, Cypher gave them their coordinates. As a result, Morpheus was captured by Smith, and half the crew was killed.

Agents Brown and Smith began to torture Morpheus for the access code to Zion's main computer, but he resisted with all his might. Suddenly, a helicopter carrying Neo and Trinity appeared in front of the agent headquarters. They temporarily killed the agents and freed their leader.

As Morpheus, Neo, and Trinity prepared to exit the Matrix, Smith caught up with them and prevented the chosen one from returning to the real world by shooting out the telephone receiver. Neo was forced to engage the agent in combat.

The Neuro-Interactive Simulation, or simply the Matrix, is a virtual reality projecting a world at the turn of the 20th and 21st centuries. It was created by the Architect Program to control human consciousness, while they serve as organic energy sources for the machines. The original matrix code appears as light green numbers and various symbols. The very essence of the matrix is ​​part of the human population's surrender to the machines, the so-called "Flesh Abandonment." Due to the consequences of Operation Darkstorm, which deprived them of the ability to recharge using solar energy, the machines discovered that the human body is a source of bioelectric energy more powerful than a 120-volt battery, including 6,300 kcal of heat. Combined with the energy of thermonuclear fusion, this creates a virtually inexhaustible power source.
Because the body is unable to generate sufficient energy without the full activity of the human brain, the Matrix exists as a neuro-interactive model designed for humans specifically raised in the real world. With the exception of rebels, approximately 99% of the entire human race is connected to the Matrix, which is why Zeonists often view the Matrix as a human prison. While humans' minds are stored within a computer program, their bodies are housed in small transparent containers located in a massive power plant, through which the machines generate energy for themselves, which, according to Morpheus, they have ample supply of.
The information from this program's interface is fed directly to the human brain via numerous cables, where the matrix's environment is perceived through the five human senses, largely due to a flawless illusion completely indistinguishable from reality. Within the matrix, humanity lives in a vast metropolis at the turn of the 20th and 21st centuries. This time period was chosen by the machines, which they most likely considered "the pinnacle of their enemies' civilization."

Morpheus was freed from the Matrix at a young age and has lived in Zion ever since. He enjoyed the taste of bread, a rare Zionite product brought back thanks to Geoffrey's exploits. Upon reaching adulthood, he joined the Resistance and eventually became captain of the hovercraft Nebuchadnezzar. Using his superb hacking skills, Morpheus succeeded in finding and recruiting fellow hackers interested in learning the truth about the Matrix, occasionally freeing some who chose the truth over safe return as Bluepiles. Soon, thanks to his numerous hacking exploits, Morpheus gained notoriety within the system and became a wanted man by the government. In turn, his name also becomes known in hacker circles. Eventually, Morpheus finds a potential candidate he has no doubt about—a hacker named Thomas Anderson, using the alias Neo. However, shortly after Morpheus sends Trinity to meet Neo for the first time, agents apprehend him as the man involved in Morpheus's capture. Morpheus assigns his team to accompany and protect Neo, and after Neo is rescued from some kind of disaster, Morpheus finally meets him. Morpheus offers Neo a choice of two pills: the red one, which will allow Neo to discover the truth about the Matrix, and the blue one, which will allow him to simply return to his normal life without the worry of running into Morpheus again. Having chosen to learn the truth, Neo awakens in the Real World and is horrified to find himself strapped to a pod. The Nebuchadnezzar crew rescues Neo from the power plant and transports his weakened body aboard a hovercraft, where he finally meets Morpheus in the flesh. Morpheus and his crew help Neo regain full control of his body and tell him about the true state of affairs on Earth, the ongoing Machine War, and how humanity has become trapped in the Matrix.

Very little is known about Trinity's life as the Blue Pill in The Matrix, not even her real name. Apparently, Trinity was at one point a renowned computer hacker, famous in underground circles for breaking into the IRS database.

Morpheus explained to Neo that the rebels have a rule: not to free minds after a certain age, because they have become so accustomed to the Matrix that the shock could kill them. Another common theme is that the rebels are looking for young (i.e., adolescent) minds prone to doubt and dissatisfaction with the world around them, because they subconsciously understand that the Matrix is ​​not real.

Thus, the people the rebels free from the Matrix are typically teenage computer hackers dissatisfied with the rigid confines of reality within the Matrix. It's unclear how much of this applies to Trinity, but she was ultimately freed from the Matrix by Morpheus himself. The Illusive Man was also freed from the Matrix on the same day (possibly by the same team) and joked that this made him a kind of brother to her.