- #1

- 1,444

- 0

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?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter latentcorpse
- Start date

- #1

- 1,444

- 0

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

Homework Helper

Gold Member

- 2,112

- 41

No that doesn't make sense.

Hint: Draw the space as a lattice.

Hint: Draw the space as a lattice.

- #3

- 1,444

- 0

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

Homework Helper

Gold Member

- 2,112

- 41

Share: