- #1
war485
- 92
- 0
Homework Statement
M22 ---> R is a linear transformation.
given:
T[ 1 0 ] = 1
,,[ 0 0 ]
T[ 1 1 ] = 2
,,[ 0 0 ]
T[ 1 1 ] = 3
,,[ 1 0 ]
T[ 1 1 ] = 4
,,[ 1 1 ]
find
T[ 1 3 ]
,,[ 4 2 ]
and
T[ a b ]
,,[ c d ]
Homework Equations
none.
The Attempt at a Solution
I don't know if it is valid to "add" the transformations. I'm tempted to add the given linear transformations like 2T + 2T - 1T - 2T which gives
T[ 1 3 ]
,,[ 4 2 ]
which I believe it is 10. Is that valid?
T[ a b ]
,,[ c d ]
Now this one is really making me stuck. It looks like something recursive but I can't wrap my head around it. Is there something special to this?