Additive Property of Determinants

Author:: Ana D Todorova

Visualization of the Axiom 3b

1. What is the relation between the vectors

and

, and the determinants? 2. Explain the relation between the areas of the parallelograms on the applet and the determinants. Prove your answer with geometric means and with determinants. 3. Set both points B and C at (1,0) and D at (0,1). Which geometric figure and axiom are obtained?

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