Both B= {1, cost,cos t,cos' t} and C={1,cost,cos 2t, cos 3t} are bases of a vector space H = Span{l, cost,cos t,cos t}. Assume the following trigonometric identities. cos 21 =-1+2 cos?t cos 3t =-3 cost+4cos't a) Find the transition matrix P-3 · b) Find the transition matrix Pc

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Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.