Suppose A is matrix with 7 rows and 7 colures with the prope

Suppose A is matrix with 7 rows and 7 colures with the property that the system Ax = b is inconsistent some b in R^3. What can you say about the of the solution space Ax - 0? Dim Nul A greaterthanorequalto 1 dim Nul a greaterthanorequalto 1 dim Nul A = 6 dim Nul A = 0 dim Nul A = 1

Solution

dim Nul A >=1

because

as the system is inconsistent

atleast one vector is dependent on other