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

I have a linear transformation f from R^4 -> R^4 given by a matrix. I have to find the range of f(R^4) which containts the vector (x,y,z,w)^T.

3. The attempt at a solution

I know that the range of f is the column space, how do I make sure that the vector (x,y,z,w)^T is part of the range?

Thanks in advance.

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# Homework Help: Column space, matrix

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