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Niles
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[SOLVED] Column space, matrix
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.
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.
Homework Statement
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.
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.