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# FP1 Invariant Points Help Required

1. The matrix T maps onto

Hence show that invariant points other than the origin exist if Det(T) = a + d -1. I said that and and that therefore a=1, c=0, b=0, d=1. I don't understand how I can find the determinate of T from this.
2. (Original post by Shipreck)
The matrix T maps onto

Unparseable or potentially dangerous latex formula. Error 6: Image was not produced or one of its dimensions is too small.
wat
3. (Original post by RDKGames)
wat
Pressed submit while still figuring the latex out. Lmao sorry.
4. (Original post by RDKGames)
wat
fixed
5. (Original post by Shipreck)
The matrix T maps onto

Hence show that invariant points other than the origin exist if Det(T) = a + d -1. I said that and and that therefore a=1, c=0, b=0, d=1. I don't understand how I can find the determinate of T from this.
If you solve the simultaneous equations that you have set out as

and crunch the algebra, you should arrive at the equation

The left hand side of this is the determinant of T.

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