Teacher/User Name: DEMO Name:__________________________
Practice Problems
By Easy Worksheet
Period: ________ Date: ____________

 
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Solve:

1) Define a linear transformation by T:ℜ2 → ℜ2 by T(x) = Ax. Given A and u below, find T(u).
A =  







-8 






-4 
  and u =  














-2 

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By Easy Worksheet

By Easy Worksheet

By Easy Worksheet

2) Define a linear transformation by T:ℜ3 → ℜ2 by T(x) = Ax. Given A below, find all x in ℜ3 whose image under T is the zero vector.
A =  







-16 -4 






3) Is this a linear transformation? Prove it is or that it is not.














  →  







-5x + 5y2 






-x - 3y 

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By Easy Worksheet

By Easy Worksheet

By Easy Worksheet

4) 
Create a matrix A that given  














  will produce 







-4x 






-4y 

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