r/fifthworldproblems • u/polygon3002 • 2d ago

Issues with age matrices

I (

19 31 -74

-32 44 12

26 3 19

Q) wanted to have my age in a number system isomorphic to the 2x2 matrix system, but instead, set my age in a number system isomorphic to a 3x3 matrix system. How can I construct my age in such a way that some 3x3 matrices form a set closed under addition and multiplication, and each member of the closed set is bijective with a 2x2 matrix?

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5

u/Nominatively_Done 2d ago

By using the number N surjectively one can achieve escape velocity from mathematics homework.

4

u/mysteryrouge 2d ago

Eat a warehouse.

4

u/CryingRipperTear 1d ago

S* = [[a_11, a_12, 0], [a_21, a_22, 0], [0, 0, 1]] works with multiplication, and S+ = [[a_11, a_12, 0], [a_21, a_22, 0], [0, 0, 0]] with addition. I'm afraid you have to pick one.

2

u/johnpeters42 1d ago

FBI OPEN UP

2

u/Nominatively_Done 1d ago

Oh, well it all started with matrix multiplication on my mother's side, my dad however? Abelian groups, everywhere. It really made my life harder than it should have been because geometrically my heart is just not willing to take anymore risks with symbolic language. It's really made my referents more recursively repugnant. I suppose I only have my singleton self to blame.

... Hey, also, while you're here... rips open rib cage ... does this look normal to you? The last mathematician I asked just gave me a funny look before fainting.

2

u/CommercialOkra3893 20h ago

You lucky bitch. I got stuck with Fermat's Last. How come you get the Riemann Hypothesis?

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1

u/CommercialOkra3893 20h ago

Well, there is already a bijection as |R^9|=|R^4|. You can use piecewise addition and multiplications, it forms not only a closed set, but actually a field.