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

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

Hi

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

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

hi limpfisch,

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

Bob

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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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