Question: Let L: V IV be a linear transformation, and let T be a subspace of W. The inverse image of T denoted L-l(T), is

Let L: V → IV be a linear transformation, and let T be a subspace of W. The inverse image of T denoted L-l(T), is defined by
L-1(T) = {v ∈ V\L(v) ∈ T}
Show that L-1(T) is a subspace of V

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If 0 V denotes the zero vector in V and 0 W is the zero vector in W then L 0 V 0 W Since 0 ... View full answer

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