Linear algebra studies the dynamics of the simplest possible interactions among multiple variables. Its fundamentals are essential to all areas of mathematics.
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The spread between two lines in hyperbolic geometry is exactly dual to the notion of the quadrance between two points. The Spread law is the third of the four main laws of trigonometry in universal hyperbolic geometry. Its proof also relies on a remarkable polynomial identity, just as did the proofs of Pythagoras’ theorem and…