Proving the Tree of Pythagorean Triples

[Kwahha]

How would you prove the tree of pythagorean triples using mathematical induction?

 

[HallsofIvy]

The first thing I would do is look up the definition of "tree of Pythagorean triples"!

 

[Kwahha]

The first thing I would do is look up the definition of "tree of Pythagorean triples"!

The definition is: every primitive pythagorean triple can generate two or three triples by multiplying it to either one of the following matrices:

1 -2 2
2 -1 2
2 -2 3

or

1 2 2
2 1 2
2 2 3

or

-1 2 2
-2 1 3
-2 2 3

 

[Jiralhanae125]

...Stijn!?