Ask
your own question, for FREE!
Mathematics
11 Online
If a matrix B results from a matrix A by applying an elementary row operation, is there always an elementary row operation that can be applied to B to recover A?
Still Need Help?
Join the QuestionCove community and study together with friends!
elementary matrices are invertable
\begin{eqnarray*} B &=& E_1E_2...E_nA \\ E_n^{-1}...E_2^{-1}E_1^{-1}B &=& E_n^{-1}...E_2^{-1}E_1^{-1} E_1 E_2...E_nA \\ E_n^{-1}...E_2^{-1}E_1^{-1}B &=& E_n^{-1}...E_2^{-1} I E_2...E_nA \\ E_n^{-1}...E_2^{-1}E_1^{-1}B &=& I A = A \\ \end{eqnarray*}
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
laylasnii13:
Poem/diary i wrote I Want Out Iu2019m so tired of screaming into walls. Every fight with my mom leaves something broken and itu2019s not just plates or slam
Countless7Echos:
Aye.. I need actually some help on the shading here.. if the light is from above too I just feel something is off.
Countless7Echos:
I don't know just no sketch doodle day :p finished a video already so I'm pretty
2 hours ago
12 Replies
3 Medals
1 day ago
19 Replies
3 Medals
3 days ago
9 Replies
2 Medals