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  3. suppose v and v0 are finitely-generated vector

Suppose V and V0 are finitely-generated vector spaces and T : V → V0 is a...

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Advance Math

Suppose V and V0 are finitely-generated vector spaces and T : V →V0 is a linear transformation with ker(T) = {~ 0}. Is it possiblethat dim(V ) > dim(V0)? If so, provide a specific example showingthis can occur. Otherwise, provide a general proof showing that wemust have dim(V ) ≤ dim(V0).

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