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Given a linear transformation, determine matrix A

  • Thread starter WK95
  • Start date
  • #1
139
1

Homework Statement


LPE6kM6.png



Homework Equations



The Attempt at a Solution


What is M_2 supposed to be? Is A supposed to be the matrix that produces those above linear transformations?

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
29
1
pretty much, yes. can you determine what the matrix is?
 
  • #3
33,086
4,793

Homework Statement


LPE6kM6.png



Homework Equations



The Attempt at a Solution


What is M_2 supposed to be? Is A supposed to be the matrix that produces those above linear transformations?
M2(R) is the set of 2 X 2 matrices with elements from the field of real numbers. Other notation I've seen is M2x2.
 
  • #4
52
7
Once a basis has been specified, each linear transformation has a unique matrix representation. Think about the vectors that they gave you ##L## acting on. Do they form a basis? If so, how would they be linked to the form of the matrix?
 

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