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#1 2012-08-16 04:59:41

limpfisch
Member
Registered: 2012-05-08
Posts: 11

Show that C is also a basis of V

Let B = {u1,u2} be a basis of a vector space V
Show that C = {v1 = 2u1 - 3u2, v2 = 2u1 + 2u2} is also a basis of V.

Also, what is the change of basis matrix from B to C?

Thanks very much for any help you give me.

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#2 2012-08-16 05:06:41

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,039

Re: Show that C is also a basis of V

Hi

Show that the vectors in C are linearly independent iff the vectors in B are linearly independent.

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#3 2012-08-16 06:06:15

bob bundy
Registered: 2010-06-20
Posts: 8,462

Re: Show that C is also a basis of V

hi limpfisch,

Does this mean you have understood your earlier post about change of basis?

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob Bundy

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