Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**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.

Offline

**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.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,417

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

Offline

Pages: **1**