How many solutions does the following system of linear equations have?
@Digvijay Pandey sir, for given this type of equation i.e non-homogeneous eqn, how can I distinguish b/w infinitely many & no solution.
When rank(A) != rank(AB) ==> No Solution since (AX=B ) is inconsistent.
When [ rank(A) = rank(AB) ] < n (no of unknown variables) ==> Infinitely many Solution
all the equations are linearly independent. i.e non of the equations can be obtained by multiplying one of equation with a number (this means that no two vectors overlap each other leading to a rank of 3). therefore there will be a unique solution.
Correct me if wrong :)
$2X2$ Minor with Determinant non - zero.