# Given a linear transformation, determine matrix A

1. Mar 1, 2014

### WK95

1. The problem statement, all variables and given/known data

2. Relevant equations

3. 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?
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Mar 1, 2014

### shortydeb

pretty much, yes. can you determine what the matrix is?

3. Mar 1, 2014

### Staff: Mentor

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. Mar 1, 2014

### kduna

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?