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Problem 43032. Geometrical meaning of determinant

Given two vectors x,y, in 2D or three vectors x,y,z in 3D space, compute the area (or volume) of the parallelogram they define.

For example:

X=[0,1]'; Y=[1,0]'; 
V = 1;

X=[1,0,0]'; Y=[0,1,0]'; Z=[0,0,1];
V = 1;
Solve

Solution Stats

42.5% Correct | 57.5% Incorrect
Last Solution submitted on Feb 14, 2019

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determinant volume