Hey JamesBond001.
Hint: Take a look at the rank-nullity theorem.
3. Let A be the 9 x 15 coeficient matrix of a homogeneous linear system, and suppose that this system has infinitely many solution with 8 parameters.
• What is the rank of A?
• Do the columns of A, considered as vectors in R9, span R9?
A. 0, Yes
B. 7, Yes
C. 7, No
D. 6, Yes
E. 6, No
F. 9, No