15. Let W be the solution space to the system Ax = 0. Determine whether the set {u, v} spans W. [1 1 1 1] A = 1 0 1 0 0

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15 Let W Be The Solution Space To The System Ax 0 Determine Whether The Set U V Spans W 1 1 1 1 A 1 0 1 0 0 1 (17.73 KiB) Viewed 38 times

15 Let W Be The Solution Space To The System Ax 0 Determine Whether The Set U V Spans W 1 1 1 1 A 1 0 1 0 0 2 (9.37 KiB) Viewed 38 times

15 Let W Be The Solution Space To The System Ax 0 Determine Whether The Set U V Spans W 1 1 1 1 A 1 0 1 0 0 3 (7.16 KiB) Viewed 38 times

PLEASE SOLVE ALL 3 PROBLEMS IF YOU CAN NOT DO ALL 3 PLEASE DO NOT SOLVE ANY.
THUMBS UP WILL ONLY BE GIVEN IF DONE ALL 3 and CLEARLY
15. Let W be the solution space to the system Ax = 0. Determine whether the set {u, v} spans W. [1 1 1 1] A = 1 0 1 0 0 1 01 a. u = (1, 0, −1, 0), v = (0, 1, 0, -1) b. u = (1, 0, -1, 0), v = (1, 1, -1, -1)

19. Let p₁ = 1 + x², P₂ = 1 + x + x², and q₁ = 2x, q₂ = 1 + x². Use Theorem 4.3.2 to show that span{p₁, P₂} = span{q₁, 92}.

23. Prove that if {u, v} spans the vector space V, then {u, u + v} spans V.