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I need an advice on this one...

A is a matrix of 4X8, and b is a vector of 4X1. It is known that the system Ax=b has infinite number of solutions.

Which statement is correct ?

a. rank(A)=4

b. rank(A)>4

c. rank(A|b)=rank(A)

d. rank(A|b)=3

e. rank(A|b)>rank(A)

my intuition say c, but I don't know why...