Matrix of Conquest

The Matrix of Conquest, also called the Anti-Matrix or Matrix of Chaos, is the Matrix containing Unicron's lifeforce, be it named the Dark Essence or Angolmois, and is wielded by Shokaract. It mockingly serves as the opposite of the Matrix of Leadership, which contains Primus's essence and is borne by the leader of the good-guy faction. It was created by and for Shokaract to bring him power beyond mortal comprehension. In turn, Unicron's gain from this contract is his resurrection, which may happen at Shokaract's cost.

3H comics
The lowly Predacon known as the Hunter found himself hunted and cornered by Maximal forces at some point during or before the 32nd century. Searching for a place to hide, he stumbled into a cave, where a dark whisper urged him onwards with promises of incredible power. In the depths of cavernous structure, the Hunter found the Dark Essence, the remnants of Unicron from after his defeat in 2005 that were displaced in time and space by the release of energy coming from destruction of the god's corporeal form.

In time after claiming the Dark Essence, the Hunter created the Matrix of Conquest as a housing for it, changed his name into Shokaract, and took command of part of the Predacon forces. With their support and the powers bestowed by the Matrix of Conquest, Shokaract conquered Cybertron and established a reign his opponents found impossible to crack.

A, perhaps the only, weak spot was the Dark Essence in the past and when Shokaract sensed temporal disruptions that threatened it, sent two Heralds in succession. When both failed, Shokaract himself went to prehistoric Earth during the Beast Wars to defend the Dark Essence. Thus began Point Omega. Shokaract's presence warped reality, to the point where many warriors from alternate universes appeared and gathered to attack the demigod. During this barrage of firepower, Shokaract revealed the Matrix of Conquest and used its powers to destroy the attackers. The Covenant used this opportunity to combine their essences and enter the Matrix, severing the bond between the Matrix's Dark Essence and the Dark Essence of the past, thus allowing the Dark Essence to be drawn into overspace and avert Shokaract's timeline.

IDW Beast Wars comics
Out on a routine survey mission, the lowly Predacon Shokaract found capsules containing a kind of energy he was unfamiliar with, Angolmois. Upon trying to analyze it, the energy suddenly stirred and swiftly invaded his body, forcing him into a deep slumber for many stellar-cycles until he found a way to manipulate the energy towards reformatting his damaged body. To ensure continued control of the Angolmois, he forged a container for it, which he dubbed the Matrix of Chaos.

Shokaract kept this Anti-Matrix housed inside his chest, fully integrated into his systems. He believed that by partaking of quantities of Angolmois larger than any Cybertronian had ever attempted, as well as stoking the energy's infernal fires by plunging Cybertron into a bloody genocidal riot, the Anti-Matrix would "awaken" and facilitate his ascension as one of the "Masters of Misrule" while remaking the planet in his image. However, moments before the Anti-Matrix had completely fueled up, Magmatron had Shokaract sent to chronospace. There, he enlighted him what true fate awaited him if the Anti-Matrix would be awoken: rather than becoming a god, Shokaract would be consumed by the Angolmois and thus sacrificed for Unicron to be reborn. Hearing this, Shokaract didn't hesitate to rip the Anti-Matrix out of his chest, even though it meant his own death.

Wings Universe
In 2984 while the Star Seekers were trying to steal all of Cybertron's energon by using Unicron's head, the pirate Hunter was lured away by Unicron's voice. Finding and stepping through a transwarp portal, Hunter found himself transported through time and space to a cave containing the Matrix of Conquest. At Unicron's behest, Hunter touched the Matrix and became Shokaract, filled with the knowledge of his destiny: Omega Point.

Prime Wars Trilogy cartoons
Under orders from Megatronus, Overlord searched through the remains of Unicron's head, where he found the Matrix of Chaos. Their goal achieved, Megatronus ordered Overlord to use it to sow death and destruction across Cybertron. Overlord later implanted the Matrix into Hot Rod, corrupting him. Granted immense power by the Matrix, Hot Rod became an acolyte of Megatronus and was given the name Rodimus Cron by the Matrix itself. When interrogating the Dinobots, the Matrix of Chaos was able to sense Megatron's absence from Primal Swamp, as well as Snarl's knowledge of his current whereabouts. The Matrix also acted as a vessel for Unicron, allowing the Chaos Bringer to observe its surroundings and take control of Rodimus. When Unicron took full control of Rodimus for a battle with Optimal Optimus, he was ultimately defeated when the others held him down and removed the Matrix from Rodimus's chest, turning him back to Hot Rod. Needing a new host for the Matrix, Unicron attempted to use it to retake control of Megatron and transform him back into Galvatron, but Megatron resisted long enough for Optimal to shoot them both with the Requiem Blaster, destroying it for good.

Transformers: Universe
The Matrix of Conquest, also called the Anti-Matrix or Matrix of Chaos, is the Matrix containing Unicron's lifeforce, be it named the Dark Essence or Angolmois.