- #1
JJHK
- 24
- 1
Simple Matrices proof using Mathematica help!
Hey guys, I'm trying to prove that
(AB)-1 = B-1 A-1
and also the one that looks the same but is with transpose of the matrices
making A and B arbitrary 3x3 matrices. I made
A = {{a_1,a_2,a_3}...}
B = {{b_1,b_2,b_3}...}
and I was able to prove the Transpose one by typing "Transpose[A B] == Transpose * Transpose[A] " and it spit out the word "True"
However, when I write "Inverse[A B] == Inverse Inverse[A] ", it does not spit out the word true, rather it spits back out the matrices expanded. Does anyone know how to tweak it so that it'll spit out either the words true or false? Thanks
Homework Statement
Hey guys, I'm trying to prove that
(AB)-1 = B-1 A-1
and also the one that looks the same but is with transpose of the matrices
making A and B arbitrary 3x3 matrices. I made
A = {{a_1,a_2,a_3}...}
B = {{b_1,b_2,b_3}...}
and I was able to prove the Transpose one by typing "Transpose[A B] == Transpose * Transpose[A] " and it spit out the word "True"
However, when I write "Inverse[A B] == Inverse Inverse[A] ", it does not spit out the word true, rather it spits back out the matrices expanded. Does anyone know how to tweak it so that it'll spit out either the words true or false? Thanks