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If a mass m is placed at the end of a​ spring, and if the mass is pulled downward and​ released, the​ mass-spring system will begin to oscillate. the displacement y of the mass from its resting position is given by a function of the form ​y(t)​, where is a constant that depends on the spring and the mass. show that the set of all functions of this form​ (with fixed and and ​arbitrary) is a vector space.

Respuesta :

To apply the theorem, it must be shown that H can be written as the span of vectors from a vector space V.

What is a vector space?

It should be noted that a vector space simply means is a set of elements that can be added together and multiplied by numbers called scalars.

In this case, to apply the theorem, it must be shown that H can be written as the span of vectors from a vector space V.

Learn more about vector space on:

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