Let F1 and F2 be 4-dimensional flats in R6, and suppose

Chapter 8, Problem 14E

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QUESTION:

Let \(F_{1} \text { and } F_{2}\) be 4-dimensional flats in \(\mathbb{R}^{6}\), and suppose that \(F_{1} \cap F_{2} \neq \varnothing\). What are the possible dimensions of \(F_{1} \cap F_{2}\)?

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QUESTION:

Let \(F_{1} \text { and } F_{2}\) be 4-dimensional flats in \(\mathbb{R}^{6}\), and suppose that \(F_{1} \cap F_{2} \neq \varnothing\). What are the possible dimensions of \(F_{1} \cap F_{2}\)?

ANSWER:

Solution 14E1.

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