(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

M_{22}--->Ris 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 ]

2. Relevant equations

none.

3. 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?

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# Homework Help: One more linear transformation

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