Find a basis for S. S is the set of vectors of the form Determine its dimension. Submit Answer a + 8b a-b 4a +7b. where a and b are real numbers. 2. DETAILS WILLINALG9 4.5.012. (a) If A is a 5 X 7 matrix, what is the largest possible rank of A? (b) If A is an m X n matrix, what is the largest possible rank of A? O The largest possible rank is always m + n. The largest possible rank is always n. The largest possible rank is the larger of the two numbers m and n. O The largest possible rank is the smaller of the two numbers m and n. O The largest possible rank is always m. Given the matrix B= 01-5-3 -12 0 +5A-3 O +5X +3 012-51 +3 then the characteristic polynomial is: