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))
