(4 marks) a) Let T: R4 → R³ be a linear transformation such that Then Rank (T) = T(0₂₁)-(.). = (:). 3 T(e2) 5 12 12 - ()

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4 Marks A Let T R4 R Be A Linear Transformation Such That Then Rank T T 0 3 T E2 5 12 12 1 (27.61 KiB) Viewed 24 times

(4 marks) a) Let T: R4 → R³ be a linear transformation such that Then Rank (T) = T(0₂₁)-(.). = (:). 3 T(e2) 5 12 12 - () T(eg) 20 T(4) 15 = 12 10 and Nullity(T) = b) Suppose M is a 3 x 3 diagonalisable matrix with eigenvalues -4, 1, 4. Then nullity (M) is Click for List 1 c) Suppose M is a 3 x 3 non-diagonalisable matrix with eigenvalues 0 and 5 with multiplicity 2 and 1 respectively. Then nullity (M) is Click for List d) Suppose M is a 3 x 3 diagonalisable matrix with eigenvalues 0 and 2 with multiplicity 2 and 1 respectively. Then rank(M) is Click for List Submit Assignment Quit & Save Back