can anyone explain or prove this??(adsbygoogle = window.adsbygoogle || []).push({});

Ax={(x^{T}A^{T})^{T}}

how can a determinant of a matrix become an area??

example: 2 X 2 matrix

the determinant of this matrix is ad-bc !!!!

but i search on wikipedia it wrote like this :The assumption here is that a linear transformation is applied to row vectors as the vector-matrix product xTAT, where x is a column vector. The parallelogram in the figure is obtained by multiplying matrix A (which stores the co-ordinates of our parallelogram) with each of the row vectors [0,0] [1,0] [1,1] [0,1]in turn. These row vectors define the vertices of the unit square.

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# How can a determinant of a matrix become an area?

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