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11 Nov 2019
4. (Intersection of Subspaces, Inclusion-Eaclusion Principle for Sulepaces). Let the vectors a, ag. a, and b,,, and their linear spans 11 = Span(ai,a2 aj and L2 = Spana,馬馬) be the same as in Problem 1. as the solution set of a suitable lamogemeous linear system. (1) Represent each of Li and La (ii) Use (1) to find a basis for the intersection lin L, of L, and 4 İnd the dimension of Lin 12. (un) Use (ii) and the Inclusion-Exclusion Principle for Subspaces to find (again) the dimension of Li +Ia
4. (Intersection of Subspaces, Inclusion-Eaclusion Principle for Sulepaces). Let the vectors a, ag. a, and b,,, and their linear spans 11 = Span(ai,a2 aj and L2 = Spana,馬馬) be the same as in Problem 1. as the solution set of a suitable lamogemeous linear system. (1) Represent each of Li and La (ii) Use (1) to find a basis for the intersection lin L, of L, and 4 İnd the dimension of Lin 12. (un) Use (ii) and the Inclusion-Exclusion Principle for Subspaces to find (again) the dimension of Li +Ia