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Feb 12, 2022 at 22:13 comment added John Thanks. The first part of your answer is what I really needed; generalizing here makes it less useful, because this comes up in mimicking a development of projective geometry that only discusses $RP^2$ and $RP^3$ as examples, and doesn't have linear algebra as a prerequisite so much as a co-requisite. But the generalization is also interesting to me, so thanks for giving it!
Feb 12, 2022 at 22:10 vote accept John
S Feb 12, 2022 at 15:49 review First answers
Feb 12, 2022 at 15:59
S Feb 12, 2022 at 15:49 history answered Adam Topaz CC BY-SA 4.0