Let A be a nonzero 5 times 8 matrix What is the maximum rank

Let A be a nonzero 5 times 8 matrix. What is the maximum rank that A can have? 5 If rank(A|B) = 2, then for what value(a) of rank(A) is the system AX = B, B notequalto 0, incontinent? (Enter your answers as a comma-separated list.) 1, 2, 4, 5 for what value(s) of rank(A) it the system consistent? (Enter your answers as a comma-separated list.) If rank(A) = 3, then how many parameters does the solution of the system AX = 0 have? B

Solution

(b) if rank(A) is equal to rank(A|B), then only the solution is consistent. Therefore for inconsistency, rank(A) can be 1,3,4,5

(c) It has 8-3 = 5 parameters