Let W be the subspace of R^4 spanned by :

[ 2

0

-1

3]

and

[ -6

1

5

-8]

Find a basis for W^(upside down T)

dont know the correct word for the symbol that looks like an Upside down T

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- Jul 23rd 2006, 11:26 AM #1

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- Jul 24th 2006, 01:27 AM #2

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Originally Posted by**luckyc1423**

is a basis of (proof left as an excercise for the reader).

Now is a basis for , so ,

where:

is an orthogonal basis for .

Now let:

and:

.

Now if I have done this right we should have

is an orthogonal basis of , with an orthogonal basis

of , and and orthogonal basis of .

RonL