Question

A homogeneous system of equations Ax = 0 in n unknowns will admit nontrivial solutions if
(a) rank(A)<n
(b) rank(A)=n
(c) rank(A)=1
(d) rank(A)=0

​

Answer 1

Answer:

answer is option A

rank of A=r<n(no of unknowns)

then the system of equations has nontrival solution

here,it has infinite many solutions

then it contains n-r will be orbitary constans