Solve the following linear algebra question in the image below:

Problem 3 [20 pts] Suppose you have n vectors V1, V2, .. ,V.n that form a basis for space R\". Any vector V in this space will have a unique expansion of the form below: V=a1V1+a2V2+m+anVn (2) a) [4 pts] Compute the coefcients ad of the vector V in the above equation, in terms of the basis vectors. b) [4 pts] In order to nd the expansion of a vector V, how many multiplications are required? c) [4 pts] In order to nd the expansion of a vector V, how many additions are required? d) [4 pts] Write the number of multiplications and additions in the O(-) notation. e) [2 pts] How many multiplications and how many additions are required to expand an arbitrary vector V, if the basis vectors were orthogonal? Show why. f) [2 pts] How many multiplications and how many additions are required to expand an arbitrary vector V, if the basis vectors were orthonormal? Show why