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prove-that-B-1-A-1-AB-1-if-A-34-12-B-12-13-please-sir-help-me-




Question Number 112906 by mohammad17 last updated on 10/Sep/20
prove that (B^(−1) )(A^(−1) )=(AB)^(−1)  if A=(34,12),B=(12,−13)  please sir help me
provethat(B1)(A1)=(AB)1ifA=(34,12),B=(12,13)pleasesirhelpme
Commented by mohammad17 last updated on 10/Sep/20
help me sir
helpmesir
Commented by mohammad17 last updated on 10/Sep/20
yes sir
yessir
Commented by kaivan.ahmadi last updated on 10/Sep/20
for every A,B we have (AB)^(−1) =B^(−1) A^(−1 ) since  (AB)(B^(−1) A^(−1) )=A(BB^(−1) )A^(−1) =AIA^(−1) =  AA^(−1) =I.
foreveryA,Bwehave(AB)1=B1A1since(AB)(B1A1)=A(BB1)A1=AIA1=AA1=I.
Commented by bemath last updated on 10/Sep/20
do you meant A and B are matrix?
doyoumeantAandBarematrix?

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