# Thread: matrix help

1. ## matrix help

hi, i was having some difficulty with the following questions..

for the first one, don't infinite solutions only apply to homogeneous systems with more unknowns than linear functions (when reduced). the first question is asking for 3 equations with 3 unknowns giving infinite solutions.. so i don't get how that works out.

the second question i'm having trouble with because do i solve it reducing first, and solving the unknowns or .. ?? thanks!!

also: this one too

2. Image doesn't seem to be opening.

As for your first question, yes you are correct. If there are more unknowns than equations in a homogeneous system, then there will be infinitely many solutions.

However, we don't know what happens for the other cases. The statement doesn't mention anything about them. For example, you can have systems of equations with the number of equations and unknowns equal to each other and have infinitely, none, or exactly one solution. We don't know until we actually solve it.

3. Hello, how about now:

i found the answer to the fourth one. but the third i am having trouble with.

as well this question thanks!!