# Mark each of the following statement true or false: If A and B are matrices such that AB = O and A neq O, then B = O.

Mark each of the following statement true or false: If A and B are matrices such that AB = O and $A\ne O$, then B = O.
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Step 1
Given statement,
If A and B are matrices such that AB = O and $A\ne O$, then B = O.
Step 2
Take A and B to be two matrices

$AB=\left[\begin{array}{cc}1& 0\\ 0& 0\end{array}\right]\left[\begin{array}{cc}0& 0\\ 1& 0\end{array}\right]$

But B is non Zero.
Therefore, the given statement is false.
Jeffrey Jordon