A vector subspace is a vector space that is a subset of another vector space. This means that all the properties of a vector space are satisfied.
ʌ WORD_BOUNDARY v ɛ k t ə ɹ WORD_BOUNDARY s ʌ b s p eɪ s WORD_BOUNDARY ɪ z WORD_BOUNDARY ʌ WORD_BOUNDARY v ɛ k t ə ɹ WORD_BOUNDARY s p eɪ s WORD_BOUNDARY ð æ t WORD_BOUNDARY ɪ z WORD_BOUNDARY ʌ WORD_BOUNDARY s ʌ b s ɛ t WORD_BOUNDARY ʌ v WORD_BOUNDARY ʌ n ʌ ð ə ɹ WORD_BOUNDARY v ɛ k t ə ɹ WORD_BOUNDARY s p eɪ s WORD_BOUNDARY ð ɪ s WORD_BOUNDARY m iː n z WORD_BOUNDARY ð æ t WORD_BOUNDARY ɔ l WORD_BOUNDARY ð ə WORD_BOUNDARY p ɹ ɑ p ə ɹ t i z WORD_BOUNDARY ə v ə WORD_BOUNDARY v ɛ k t ə ɹ WORD_BOUNDARY s p eɪ s WORD_BOUNDARY ɑ ɹ WORD_BOUNDARY s æ t ɪ s f aɪ d WORD_BOUNDARY