Select the right answer and briefly explain. 1. = (T/F) Every matrix equation Ax equation with the same solution set. b corresponds to a vector 2. (T/F) If the equation Ax = b is inconsistent, then b is not in the set spanned by the columns of A. 3. (T/F) If A is an m n matrix whose columns do not span Rm, then the equation Ax = b is inconsistent for some b in Rm. 4. (T/F) Any linear combination vectors can always be written in the form Ax for a suitable matrix A and vector x. 5. 6. (T/F) The solution set of a linear system whose augmented matrix is [a a2 a3 b] is the same as the solution set of Axb, if A = [ a a2 a3 ]. (T/F) If the augmented matrix [ A in every row, then the equation Ax b] has a pivot position = b is inconsistent.