I need help on how to do part a) and b). I know for part c), I just have to row reduce and get my vector X.
2026-05-15 04:55:24.1778820924
Nonzero vector in image(A)
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a) Any linear combination of the columns (distinct from the columns).
b) Find first the equation(s) of the image, i.e. solve for $A\cdot X=0$. Then take any vector which does not satisfy at least one of these equations. The number of linearly independent equations is $4-\operatorname{rank}A$.