Question: prove and please explain it with steps is a basis for V and a and o are flonzero scalars, then both fu and {au, bu}

prove and please explain it with steps

is a basis for V and a and o are flonzero scalars, then both fu and {au, bu} are also bases for V. 12. Let u, v, and w be distinct vectors of a vector space V. Show that if {u, v, w} is a basis for V, then {utv + w, v+ w, w} is also a basis for V

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