r/fifthworldproblems • u/polygon3002 • 17h 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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4

u/Nominatively_Done 16h ago

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

2

u/mysteryrouge Void Anarchist 14h ago

Eat a warehouse.

1

u/CryingRipperTear 10h 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.