Suppose A=BC, where B is invertible. Show that any sequence of row operations that reduces B to also reduces A to C. The converse not true , since the zero matrix may be factored as 0= B .
Which of the following pieces of information in the problem statement are levant for showing that any sequence oi ToW operations that reduces B to also reduces A to C?
A The zero matrix may be iactored as 0= B0.
B: A=B
C B is invertible
D. The converse not true