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Find a basis for the intersection of the subspaces V = Span _ (1, 0, 1, 1), (2, 1, 1, 2)
Chapter 3, Problem 4(choose chapter or problem)
Find a basis for the intersection of the subspaces
\(V=Span((1,\ 0,\ 1,\ 1),\ (2,\ 1,\ 1,\ 2))\) and \(W=Span((0,\ 1,\ 1,\ 0),\ (2,\ 0,\ 1,\ 2))\subset\mathbb{R}^4\)
Questions & Answers
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QUESTION:
Find a basis for the intersection of the subspaces
\(V=Span((1,\ 0,\ 1,\ 1),\ (2,\ 1,\ 1,\ 2))\) and \(W=Span((0,\ 1,\ 1,\ 0),\ (2,\ 0,\ 1,\ 2))\subset\mathbb{R}^4\)
ANSWER:Step 1 of 4
Let U be a vector space with finite dimensions, and let V and W be its subspaces. Then \(\dim \left( {V \cap W} \right) + \dim \left( {V + W} \right) = \left( V \right) + \left( W \right)\).
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Review this written solution for 965432) viewed: 185 isbn: 9781429215213 | Linear Algebra: A Geometric Approach - 2 Edition - Chapter 3.4 - Problem 4
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Review this written solution for 965432) viewed: 185 isbn: 9781429215213 | Linear Algebra: A Geometric Approach - 2 Edition - Chapter 3.4 - Problem 4
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