****PLEASE ANSWER ONLY IF YOU WILL FINISH ALL 2 PROBLEMS, OTHERWISE DO NOT ANSWER IF YOU WILL ONLY ANSWER 1 PROBLEM, LEA

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****PLEASE ANSWER ONLY IF YOU WILL FINISH ALL 2 PROBLEMS, OTHERWISE DO NOT ANSWER IF YOU WILL ONLY ANSWER 1 PROBLEM, LEAVE IT FOR SOMEONE ELSE WHO CAN FINISH IT***

Please Answer Only If You Will Finish All 2 Problems Otherwise Do Not Answer If You Will Only Answer 1 Problem Lea 1 (11.99 KiB) Viewed 27 times

Please Answer Only If You Will Finish All 2 Problems Otherwise Do Not Answer If You Will Only Answer 1 Problem Lea 2 (17.36 KiB) Viewed 27 times

Please Answer Only If You Will Finish All 2 Problems Otherwise Do Not Answer If You Will Only Answer 1 Problem Lea 3 (22.53 KiB) Viewed 27 times

7. In each part, show that the set of vectors is not a basis for R³. a. {(2, -3, 1), (4, 1, 1), (0, -7, 1)} b. {(1, 6, 4), (2, 4, −1), (−1, 2, 5)}
13. Find the coordinate vector of v relative to the basis S = {V₁, V₂, V3} for R³. a. v = (2,-1, 3); v₁ = (1,0,0), v₂ = (2,2,0), V3 = (3,3,3) b. v = (5, -12, 3); v₁ = (1, 2, 3), V₂ = (-4,5,6), V3 = (7,-8,9)
In Exercises 15-16, first show that the set S = {A₁, A₂, A3, A4} is a basis for M22, then express A as a linear combination of the vectors in S, and then find the coordinate vector of A relative to S. 15. A₁ = []· 4=[8]; A3 4₂ = [ ], 4, = [1], A = [8]