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  3. suppose that t : v ? v is a linear map on a finite

suppose that T : V ? V is a linear map on a finite-dimensional vector space...

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Advance Math

suppose that T : V ? V is a linear map on a finite-dimensionalvector space V such that dim range T = dim range T2. Show that V =range T ?null T. (Hint: Show that null T = null T2, null T ? rangeT = {0}, and apply the fundamental theorem of linear maps.)

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