Question: 12. Let S = {v1, v2, . .., Un} be a basis for a vector space V and T: V - V be a linear

12. Let S = {v1, v2, . .., Un} be a basis for a vector space V and T: V - V be a linear transformation. Prove that [T]s is upper triangular if and only if T(v;) E span({v1, v2, . . ., v}}) for j = 1, 2, ..., n. Visit goo.gl/k9ZrQb for a solution

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