Register to reply 
Regarding transpose of matrix products 
Share this thread: 
#1
Feb613, 02:15 PM

P: 45

Starting out a Lin Alg class  my prof wrote this on the board.
(ABC^{1}D^{t})^{t} = DC^{1}B^{t}A^{t} On the right hand side, I get why D is D, why A and B are now both transpose, but why is C still inverse? I know the rule (D^{1})^{t} = (D^{t})^{1}, but I do not see how the heck it applies here or what would make the original equality true. 


#2
Feb613, 03:01 PM

Mentor
P: 18,218

It's incorrect, it should be
[tex](ABC^{1}D^t)^t = D (C^t)^{1} B^t A^t[/tex] You should ask your prof for clarification. 


#3
Feb613, 03:59 PM

P: 45

Ugh, I KNEW it was incorrect. He wrote it on the board right before we took a test  he was answering questions  so despite knowing the write answer as you put it, I wrote the wrong thing on the exam. I would have asked, but out the tests came.
This might have something to do with his being an octogenarian. Half hour late to his office hours too and forgets who the heck you are. Son of a... Thanks for your help. Also, how do you make the script look so nice for writing math? 


#4
Feb613, 04:06 PM

Emeritus
Sci Advisor
PF Gold
P: 9,343

Regarding transpose of matrix products



#5
Feb613, 04:15 PM

Engineering
Sci Advisor
HW Helper
Thanks
P: 7,104

FWIW, some people write ##C^{T}## instead of ##(C^{1})^T## or ##(C^T)^{1}##
Maybe you misread ##C^{T}## as ##C^{1}##. 


#6
Feb613, 10:07 PM

P: 45

Thanks a bunch! 


Register to reply 
Related Discussions  
Transpose of a matrix  Linear & Abstract Algebra  1  
Matrix Transpose  Linear & Abstract Algebra  1  
Transpose of matrix  Calculus & Beyond Homework  8  
Matrix transpose proof  Calculus & Beyond Homework  2  
Transpose of Matrix as Linear Map  Linear & Abstract Algebra  2 