Solve for Matrix of Linear Maps f(x) = a(x)

[salman213]

1. An associated 2x2 matriax is defined by the function

f(1,0) = (3,-1)
f(1,1) = (2,2)

Find the matrix




2. f(x) = a(x)





3. I have no clue where to start

 

[salman213]

ok i was trying it and i think i got it

i get


[3 -1]
[-1 3]

can someone else try it and tell me if they got that too..

 

[Astronuc]

That is correct.