- #1

- 48

- 0

## Main Question or Discussion Point

Im stuck on this proof.

Let A and B be nxn matricies such that AB is singular. Prove that either A or B is singular.

Sooooo, here we go.

Let M = AB where is M is the given singular matrix.

Becuase M is singular then

M

Let J be one of the non zero solutions

M

AB

this is where I get stuck.

If knew that B was singular I think I could prove M is singular but Im having trouble from this way around.

Any ideas?

Let A and B be nxn matricies such that AB is singular. Prove that either A or B is singular.

Sooooo, here we go.

Let M = AB where is M is the given singular matrix.

Becuase M is singular then

M

**x**=0 has an infinite amount of solutions.Let J be one of the non zero solutions

M

**j**=0AB

**j**=0this is where I get stuck.

If knew that B was singular I think I could prove M is singular but Im having trouble from this way around.

Any ideas?