Let A be the matrix: A = -3 -3 15 2 1 -12 3 -2 -25 Determine a condition for when a vector bis in C(A). That is, find an euation that is satisfied by b,b2, and be exactly when bis in C(A). Give your answer as an equation expressing by in terms of b and b2, e.g., b3 = 2b3b2. Use b1,b2, and b3 to represent the entries b,b2, and b3 of b. b3 (Hint: Set up a system where the righthand side consists of the unknown values b,b2, and b3. Use elimination until you reach an upper triangular matrix on the left. This should have one row with O's on the left and an expression involving b,b2, and be on the right. This expression needs to equal 0 in order for the system to have a solution.)