Question: P1 - Linear Combination 2 0 6 101 Let, A = -1 5 let b = , and let W be the set of all

P1 - Linear Combination 2 0 6 101 Let, A = -1 5 let b = , and let W be the set of all linear combinations of 1 -2 1. columns of A. a. Is b in W? b. Show that the second column of A is in W. P1 - Solution Please add your solution here.P2 Linear Combination Determine if b is a linear combination of the a1, a; and as. 1 0 5 2 a]: 2 .: = 1 .33: 6 .b= 1 0 2 8 5 Please add your solution here. P3 Linearly Independent Vectors 0 0 1 Ply; [ 1 :'.v3 [ 3 :'linearly independent? Show work? 8 3 1 Are vectors v1 = Please add your solution here. P4 - Basis for the null space 3 2 -6 9 1 5 Find a basis for the null space of A = 6 -1 9 15 O 14 P4 - Solution Please add your solution here.P5 - Basis for the column space 2 -6 9 1 5 Problem to solve Find a basis for the Column space of A = 6 -1 9 15 14 P5 - Solution Please add your solution here.P6 - Compute determinant Compute determinant of 1 2 -11 A = 1 1 -1 1 1 P6 - Solution Please add your solution here.\fP8 - Calculate the area of the parallelogram Calculate the area of the parallelogram determined by the points (-1 . -1), (2 , 4), (4, 3) and (7, 8). P8 - Solution Please add your solution here

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