- #1

RyozKidz

- 26

- 0

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.