This is one of the most inventive of the Doctor's adventures back home on Gallifrey, with nicely judged portrayals of the senior Time Lord bureaucracy, some suspenseful journeys through the Tardis's interior, and a surprise appearance by particularly unpleasant old enemies. The real high point, though, is Tom Baker's performance, more barnstorming than ever before, at times blazingly angry and at times even more terrifying when soft-spokenly whimsical; this is a story line that reminds us that the various incarnations of the Doctor are impressive as well as charming. --Roz Kaveney
His behaviour becomes more erratic. He sees Borusa, his former teacher and now Chancellor, played with dry and acerbic aplomb by Leonard Arnatt, and arrogantly claims his birthright, demanding to become inaugurated president of the High Council of Time Lords. The presidential investiture ceremony echoes that of a bishop or pope being sworn in. And when he's told, "I give you the Matrix," the network containing the sum total of knowledge and memories of dead Time Lords, I found myself thinking, "Good thing it doesn't have Keanu Reeves in it."
With the aliens fully in control, he then instigates a full-scale purge of Time Lords who could be construed as troublemakers to his regime, even ordering Leela banished into the "barbaric garden" of Outer Gallifrey. He is aided in this by the Castellan Kelner, whose obsequious surface masks motives of self-preservation, as he is quick to switch allegiances. Kudos to Milton Johns for his portrayal.
Like The Deadly Assassin, there's another incompetent Guard commander, Andred. He's played by Christopher Tranchell, who previously appeared in the no-longer existent Who story The Faceless Ones. However, he isn't as brutal as his predecessor.
The interior of the Doctor's TARDIS, and I'm not just talking about the control room is one of the best reasons to watch this story, as one finally gets the idea of dimensional transcendentalism. The scene involving the storage room is reminiscent of Monty Python's deja vu sketch, giving it a surreal edge. However, for a real design triumph, the Doctor's funky-looking presidential office is a masterpiece.
Along with the usual manic grins and jokes by the Doctor, there are two funny exchanges. When the Doctor's bodyguard protests that he'll be shot by the Castellan for leaving his side, the Doctor responds with. "That's all right. I'll have him [the Castellan] shot." Later, Andred tells him, "You have access to the greatest source of knowledge in the universe." Doctor: "Well, I do talk to myself sometimes, yes." Andred: "I mean the Matrix." Doctor: "Oh, that old thing."
The Invasion Of Time sees the farewell of two popular companions, and an unrewarding one on the part of Leela. She really proves her mettle here, being the tough warrior, believing in the Doctor despite his odd behaviour, and overall, has been one of the most intrepid and fearless companions of the Doctor, yet she suffers the fate of companions Susan, Vicki, and Jo Grant. WHY?? Her scenes with Rodan, a young Time Lord, not a gigantic double-crested barking pterodactyl from Toho Studios, are great. Rodan seems to be a prototype for Romana I, who would be the Doctor's companion in the following season. Hilary Ryan does a good job being the technically-skilled but sheltered counterpart to Leela's hardy experienced person.
This six-parter is one of the all-time classics, although it's probably best to first watch The Deadly Assassin, probably more classic than this story, in order to remember Gallifreyan institutions and Borusa. The Invasion Of Time adds more information on Gallifrey.