Question

What is the condition for a set of homogeneous linear equations to have solution ?

Answer 1

Answer:

thus, for homogeneous systems we have the following result: a nxn homogeneous system of linear equations has a unique solution (the trivial solution) if and only if its determinant is non-zero. if this determinant is zero, then the system has an infinite number of solutions.

Explanation:

please mark me as brainliests

Answer 2

Your Solution:

Homogeneous system of linear equations have either one or infinitely many solutions. The trivial solution is when all variables are assigned to be 0. A homogeneous system is always consistent, since the zero solution, aka the trivial solution, is always a solution to that system. A homogeneous system with at least one free variable has infinitely many solutions.

I hope you got it.

Keep Learning & Keep Growing :D