Question

How many solutions can a system of 3 linear equations with 5

variables have?​

Answer 1

A homogeneous system of 3 equations in 5 unknowns.

Since the system is homogeneous, it has the zero solution, hence consistent. Since there are more unknowns than equations, there are infinitely many solutions.

Answer 2

Step-by-step explanation:

(a) A homogeneous system of 3 equations in 5 unknowns.

• Since the system is homogeneous, it has the zero solution, hence consistent. Since there are more unknowns than equations, there are infinitely many solutions.