Consider the following matrix A: 3 3 6 A = 2 5 -2 -1 1 -6...

 

Transcribed Image Text:

Consider the following matrix A: 3 3 6 A = 2 5 -2 -1 1 -6 For each of the following vectors, determine whether the vector is in the column space of A. If so, demonstrate this by providing a vector x so that Ax-b 61 is in col(A): 6. b1 = 6- A 0 = B1 B2 is in col(A): -6 B2 = -7 A0 =62 63 is in col(A): -18 63 = -3 %3! A0 = 63 12 0. 4. Consider the following matrix A: 3 3 6 A = 2 5 -2 -1 1 -6 For each of the following vectors, determine whether the vector is in the column space of A. If so, demonstrate this by providing a vector x so that Ax-b 61 is in col(A): 6. b1 = 6- A 0 = B1 B2 is in col(A): -6 B2 = -7 A0 =62 63 is in col(A): -18 63 = -3 %3! A0 = 63 12 0. 4.