(2 marks) Let V be a vector space, such that dim(V) = 3. Given that T: VR² is a linear map and that Rank (T) = 1, i) whi

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2 Marks Let V Be A Vector Space Such That Dim V 3 Given That T Vr Is A Linear Map And That Rank T 1 I Whi 1 (34.96 KiB) Viewed 32 times

(2 marks) Let V be a vector space, such that dim(V) = 3. Given that T: VR² is a linear map and that Rank (T) = 1, i) which of the following are subspaces of V? ker (T) im(T) O nullity (T) Ⓒrank (T) ii) For each of the subspaces selected above, determine the dimension of the given subspace. Write this below, on one line per subspace, in the form dim( subspace) = n replacing the word subspace with the particular subspace and n with the dimension of that subspace. |||| ΩΣ 수식 편집 |7| 应Q A- A I B IU S x, x² 스타일 글꼴 크기 Words: 0