Question

Linear algebra question

Show that T = {y ∈ C∞(R) : y00−49y = 0} is a vector subspace of C∞(R).

Answer #1

are continuously differentiable functions satisfying

Let be scalars

We must have is a continuous differentiable functions and

And so also satisfies

Which means is a vector subspace of

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Determine whether the set W is a subspace of R^3 with the
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Thank you

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