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What is MA2101 Tutorial 4: Vector Spaces about?

1. A vector space isomorphism z from Fn to a vector space V shows that the vectors zi = z(ei) form a basis for V, as they span V and are linearly independent. 2. If T is a linear transformation between vector spaces V and W of the same finite dimension, T is surjective if and only if T is injective, by the fundamental theorem of linear transformations. 3. The dual basis vectors εi for the dual space of row vectors F^n can be used to compute the components aj of a vector v = ai ei in Fn, showing that th

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leetianyi34

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