Question

25
the given
hot v be o vector space of all functions defined
Rinto R. Determine the whether
vector is linearly dependent or not.
e^ax, e^bx,e^cx

a,b,c being distinct
real numbers​

Answer 1

Answer:

Yes they are all linearly dependent.

Step-by-step explanation:

Let a,b,c be 1

Now from 1st equation ,

e^ax = e^1x =>> e^x

2nd,

e^bx = e^1x =>> e^x

3rd,

e^cx = e^1x =>> e^x

Thus they are all dependent as eq.1=eq.2=eq.3.