Question

Linear Algebra

True or False
Please state brief explanation, why it is true or false. Thank you.
If A and B are nxn matrices with no zero entries, then AB # Onxn.

Answer 1

Answer: False

Step-by-step explanation:Ab is a zero matrix, so A=B=0. Meaning it's proven it's false. It's not difficult to impute Ab, infact it's not even in the question. So assume that Ab are non-singular, meaning A-1 Ab = b and Abb-1 = A.

Sorry if you don't understand! I just go on and on when it comes to math.