- #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.