- #1
mathman44
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Homework Statement
Explicitly show, using numbers, that in general NxN matrix multiplication is not commutative. Show this for all N > 1.
If I make a matrix A, 2x2,
1 2
3 4
and multiply by matrix B, also 2x2
5 6
7 8
I get AB =/=BA
If I multiply a new matrix A, 3x3,
1 2 3
4 5 6
7 8 9
by a new matrix B, 3x3,
10 11 12
13 14 15
16 17 18
I get AB=/=BA
Ok... but how do I show that this holds for ALL n > 1? I have to do this explicitly using real numbers.