Given a linear transformation, determine matrix A

WK95
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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?
 
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pretty much, yes. can you determine what the matrix is?
 
WK95 said:

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.
 
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?
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
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