- #1

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Z_3^3 has 3^3 = 27 vectors

26 of which are non zero

then we can say v and 2v have the same span and so there are in fact 13 1 dimensional subspaces. is this true?

- Thread starter latentcorpse
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- #1

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Z_3^3 has 3^3 = 27 vectors

26 of which are non zero

then we can say v and 2v have the same span and so there are in fact 13 1 dimensional subspaces. is this true?

- #2

dx

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No that doesn't make sense.

Hint: Draw the space as a lattice.

Hint: Draw the space as a lattice.

- #3

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there are 3^2=9 elements

8 are non zero

v and 2v have the same span

therefore there are 4 1 dimensional subspaces

why can't this be extended to Z_3^3

i dont know how to draw it as a lattice or what that means to be honest...

- #4

dx

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