16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 3.3.6

Linear Transformations

Mathematics — Linear Algebra · isomorphic-iff-same-dimension

Problem

Let VV and WW be finite-dimensional vector spaces over the field FF. Prove that VV and WW are isomorphic if and only if dim⁡V=dim⁡W\dim V = \dim W.

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