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I'm quite confused and I'm not sure how to explicitly state my problem.

The vertices of a triangle are (a,b) (c,d) and (e,f).

This can be arranged into a single matrix.

T = a c e

b d f

with brackets either side i know.

HOWEVER when solving simultaneous equations

2x-3y=5 and -5x+6y=-8

the matrix product

2 -3 X x = 5

-5 6 y 8

is used, so the x values take the first column in this form as oppose to the x values taking the first row in the triangle vertices matrix.

I HAVE TO STATE AGAIN THAT THIS IS NOT A HOMEWORK QUESTION, IT IS JUST A MATTER OF CURIOSITY!