Consider the set of all functions that can be written in the form A sin (t + θ). This set can be considered a vector space, because it satisfies the ten defining properties.i. Consider the following basis set for the vector space described above: Represent the vector as a column of numbers xv (find the vector expansion), using this basis set.ii. Using your basis set from part i., find vector expansions foriii. We now want to represent the vector of part i., using the basis set Use reciprocal basis vectors to find the expansion for in terms of the basis vectors This will allow you to write as a new column of numbers xu.iv. Show that the representations for hat you found in parts i. and iii. are equivalent (the two columns of numbers both represent the same vector )
Consider the set of all functions that can be written in the form A sin (t + θ ). This set can…
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