I need help with questions 4 & 5b, full work and reasoning required. thanks!
Prove that if S = {y,v,, ,v, } is a basis for a vector space V, then every 4. vector in V can be written in a unique way as a linear combination of vectors in S 5. Find the area of the parallelogram that has the vectors as adjacent sides a. b. Suppose (.")2u's represents an inner product on R'. For ii = (2,1,-3) and v= (-1,0,4), i) Find the distance between i and v. i) Find the projection of v onto i.
