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let W be the subspace of C[0,1] spanned by S={sin^2(x),cos^2(x),cos2x}

a) explain why S is not a basis for W

it's because S not linearly independent

b) find a basis for W

please help me with this one...

TIA.

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- Thread starter physicsss
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- #1

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let W be the subspace of C[0,1] spanned by S={sin^2(x),cos^2(x),cos2x}

a) explain why S is not a basis for W

it's because S not linearly independent

b) find a basis for W

please help me with this one...

TIA.

- #2

lurflurf

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This one is easy think about trig identities and try to express one function in terms of the others. See which function is superfluous.physicsss said:

let W be the subspace of C[0,1] spanned by S={sin^2(x),cos^2(x),cos2x}

a) explain why S is not a basis for W

it's because S not linearly independent

b) find a basis for W

please help me with this one...

TIA.

- #3

mathwonk

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show each one is superfluous.

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Oh..sorry for the confusion. I just needed help with b). I already know how to do a).

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matt grime

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