How do i find the missing column of a matrix given the full RREF form?

Incognitopad
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Homework Statement



I'm given a 4x5 matrix with one missing column. I'm also given the RREF form with no missing columns.

Previous parts of the question made me find the row, column, and null basis for the matrix.

Now it's asking:

d) Find the missing column. (Hint: Are the columns of the matrix linearly independent or dependent?)

How would I go about finding the missing column? ^ What is the hint trying to get me to do? :s,

The rank of the RREF is 3, by the way.



Homework Equations





The Attempt at a Solution

 
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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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