- #1

gaborfk

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**Show that the set of continuous functions f=f(x) on [a,b] such that**[tex]\int \limits_a^b f(x) dx=0[/tex]

**is a subspace of C[a,b]**

Thank you

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- Thread starter gaborfk
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- #1

gaborfk

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Thank you

- #2

NateTG

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I would start by checking the definition of subspace.

- #3

gaborfk

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Definition of subspace means that the functions are closed under addition and scalar multiplication

- #4

NateTG

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gaborfk said:Definition of subspace means that the functions are closed under addition and scalar multiplication

So can you show that that's true for the potential subspace in your example?

- #5

gaborfk

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- #6

NateTG

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- #7

gaborfk

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Thank you!

The "hard ones" are so easy sometimes...

The "hard ones" are so easy sometimes...

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