Question

is anyone good in vector spaces
let V be the vector space of 3x3 symmetric matrices over IR ,show that dim V = 6

Answer 1

@ganeshie8 @BSwan

Answer 2

>.<
ok wrie dim v def plz

Answer 3

dim = dimensions

Answer 4

dimensions of V o_o

Answer 5

this whole vector space assignment is greek to me
idk shyt

Answer 6

@amistre64 @hartnn

Answer 7

What is IR?

Answer 8

Oh..

Answer 9

\[\mathbb{R} \]

Answer 10

@jhonyy9 any clue?

Answer 11

i need a book T_T

Answer 12

i smell abstract algebra T_T

Answer 13

ok tell me ur sylbass and ill give u the perfect book for it

Answer 14

vector spaces over R
i wont be able to use net after sometime
sigh

Answer 15

ok abstract algebra
ill send u the book

Answer 16

coool
i'd love u forever T_T i need it for this whole assignment

Answer 17

first find the basis
like this
1,0,0
0,0,0
0,0,0

M2=
0,1,0
0,0,0
0,0,0
in this way.....
so u'll find 9 vectors linearly independent
therefore total 6 vectors as they are symmetrical so dim=6

Answer 18

how do you prove that from 9 independent vectors

Answer 19

to tell u
i dont even know what vector space is

Answer 20

then u first need to read a book :)

Answer 21

uh huh
i have 4 assignments due on tomorrow
one of them is this
so am not realy gonna read
am gonna skim the texts n write what fits -.-
so just tell me what to do here .-.

Answer 22

A vector space is an object which is closed under addition and scalar multiplication; further, a vector space satisfies 8 axioms. Look here http://en.wikipedia.org/wiki/Vector_space#Definition

Answer 23

how will those axioms help me solve it

Answer 24

They don't exactly help. i sent you that page because you had mentioned that you weren't sure what a vector space was.

Answer 25

oh