In matrix multiplication, does ABC=ACB?
1 Answer
Mar 30, 2018
No, at least not in general
Explanation:
Matrix multiplication is associative but not generally commutative.
Let:
#A=((1,0),(0,1))#
#B=((1,1),(0,1))#
#C=((1,0),(1,1))#
Then:
#ABC = BC = ((1,1),(0,1))((1,0),(1,1)) = ((2,1),(1,1))#
#ACB = CB = ((1,0),(1,1))((1,1),(0,1)) = ((1,1),(1,2))#
