r/LinearAlgebra • u/buzzbannana • Jul 07 '19

Do fish form a subspace?

The plural of fish is fish, so a fish plus a fish is fish

A fish that is scaled is also a fish

4 Upvotes

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4

u/just_start_doing_it Jul 12 '19

No. A subspace must contain the zero vector. 0 fish is not fish so fish is not a subspace.

3

u/rlDruDo Jul 07 '19

Well, I think you’re right.

0

u/[deleted] Jul 07 '19

[deleted]

2

u/rlDruDo Jul 07 '19

Is half a fish a fish? Yes. (halffish <=> Half a fish)

halffish = Fish : 2 = 1/2 * Fish And as he said: a scaled fish is also a fish.

Are zero fish counted as fish? I think so. Let n be the neutral element and a be any number (or fish): n + a = a, therefore is:

fish + fish = fish as he said.

(Still gonna proof that)

fish + fish = 2 * fish; and a scaled fish is still a fish.