P1 - Linear Combination 2 0 6 101 Let, A : -1 8 5 let b = 3 , 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, a2 and 33. 1 U 5 2 ill: 2 .32: 1 '33: 6 .b: l U 2 3 6 Please add your solution here. P3 Linearly Independent Vectors U U 1 Are vectors v1: 2 ,v2 = 1 ,v3 = 3 linearly independent? Show work. 3 8 1 Please add your solution here. P4 - Basis for the null space 2 6 3 1 5 Find a basis for the null space of A = 6 1 9 UN 15 O 14 P4 - Solution Please add your solution here.P5 - Basis for the column space N -6 1 5 Problem to solve Find a basis for the Column space of A = 6 -1 15 O 14 P5 - Solution Please add your solution here.P6 - Compute determinant Compute determinant of 1 2 A = 1 1 -1 1 1 1 1 P6 - Solution Please add your solution here.P7 Compute determinant Compute detennjnant of 11 17 1 21 0 1 0 1 A : 2 2 0 1 {J 1 0 1 P7 - Solution Please add your solution here. P8 - 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