1 3 9 2 0 3 -4 1 2 2 3 0 Let b = 3 and let A = 1 Is b in the range of the linear transformation 3 4 5 * → Ax? Why or Why not?

((1/z-6)-(1/z+6))/(12/z^2-36)

Find A if -1 6 (42+^) - [₁1] A 36 A =

midpoint of (2,4) and (2,-7)

Problem YOUDEN RECTANGLE'S PROBLEM BIBD- Balanced Incomplete Block Design . There is a matrix m x n. This matrix can be 26 x 4 but we can change this dimension if 26 x 4 does not admit a feasible solution. • m> n + 1 • The rows are called "blocks" and the columns are called "forms" • Every form is composed by the same number of blocks • • Every block is composed by the same number of forms The matrix is full and every single spot should be filled with a treatment Every treatment is is replicated r times in the Youden rectangle • Every treatment appears in every form maximum one time • Every couple of treatment appear together in every form 1 times Every treatment appear in all single blocks the same number of times v = number of treatments (1,2,3,4,.....,n) n = blocks (columns) m = forms (rows) r = number of times every treatment is replicated λ = number of times two treatment appear together in the same form Constraints: 1) nxm=vxr - 2) 1 (v 1) = r (k-1) 3) m > v then r > n Goal The…

1. if possible, find 2(A+B). if not possible, explain why 2. if possible, find B^T A. if not possible, explain why