is
Replacing
expanding with respect to R1
= 2(-14) - (4)(-2)
= -28 + 8 ≠ 0
.............................................(i)
Also A does not possess any minor of order 4, i.e. 3 + 1
..................................................(ii)
From Equations (i) and (ii), we get
p(A) = 3 i.e. rank of A is 3.