Question: Show that the range of the linear operator defined by the equations w1 = 4x1 - 2x2 w2 = 2x1 - x2 is not all

Show that the range of the linear operator defined by the equations
w1 = 4x1 - 2x2
w2 = 2x1 - x2
is not all of R2, and find a vector that is not in the range.

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