@St_Rev okay rev i have a math question but you don't link your ask any more so: how the heck do i understand the determinant of a matrix ..
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Replying to @fire__exit
@St_Rev i get that 2x2 is the parallelogram formed by the two vectors and i can think of a 3x3 as three of those, each stretched ...1 reply 0 retweets 0 likes -
Replying to @fire__exit
@St_Rev horizontally by some scalar to create a prism, but 1) that strikes me as not the Best Way and 2) what does it meeeean2 replies 0 retweets 0 likes -
Replying to @fire__exit
@nairalos do it by induction. order the edges of the parallelogram and rotate it so the first one lies on the x-axis, second in the xy-plane
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Replying to @St_Rev
@nairalos ...and so on, so that the nth edge lies in the x1...xn hyperspace
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Replying to @St_Rev
@nairalos now convince yourself that if the (n-1)-volume of the paralelliped generated by the first n-1 edges is V, and the nth edge...
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Replying to @St_Rev
@nairalos ...has coords xn = (xn1,xn2,...,xnn,0,...,0), that the n-volume of the paralleliped generated by the first n edges is Vxnn
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Replying to @St_Rev
@nairalos basically the geometry of rotating the paralleliped so the edges lie in the x, xy, xyz etc. spaces corresponds to putting the...
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@nairalos so you're doing induction on the formula volume = base x height. heights are the diagonal entries, volumes are sub-determinants
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.