Question

what is the dimension of 'c' over the field F??

Answer 1

c as in speed of light?

Answer 2

Welcome to OpenStudy, priyanka100!

Answer 3

THANKS

Answer 4

no@aravindg

Answer 5

then ?

Answer 6

srk and katrina hmm

Answer 7

lol @shubhamsrg

Answer 8

ooo no pls say the ans...

Answer 9

First tell us what c are you referring to ?

Answer 10

complex no

Answer 11

is it 2??

Answer 12

:O

Answer 13

cool :D

Answer 14

answer is 3953

Answer 15

y??

Answer 16

thats my rank in VIT :)

Answer 17

@shubhamsrg lols

Answer 18

@priyanka100 I have never seen complex number and field mixed like that in a question.

Answer 19

I think c=speed of light

Answer 20

use the definition of dimension ... find the maximum number of linearly independent basis.

Answer 21

If thats the case I can help

Answer 22

no...i thnink c be written as a+ib

Answer 23

hmm...I think @experimentX knows how to do this better . I am off .Welcome to Openstudy again :)

Answer 24

pls hlp...

Answer 25

of course it is 2.
you can write complex number z =x+iy ... also you can write it up as (x,y) too ... it satisfies all properties to be a vector space.

no now in 2-d euclidean plane, it is easy to see that the max number of independent vector is 2.

Answer 26

Now that makes sense

Answer 27

yea thanks ....@experimentx

Answer 28

for that you can see ... you have two numbers 1 and i,
now any complex number a+ib = a*(1) + b*(i) <-- this is dependent on our original basis.
hence ... the max number of independent basis is 2.

also your field F is restricted only to real number.
also note that complex number itself can act as field.

Answer 29

yes