TIFR-2011-Maths-A-13

Question

$A$ is $3 \times 4$-matrix of rank $3$. Then the system of equations,

$Ax = b$

has exactly one solution.

Answer 1

FALSE

A is 3*4 matrix ; here m<n means 3<4

Rank(A)=3=m

so , number of solution is always infinity.