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Does such a Determinant indicate a structural relationship between two variables for which matrices have been indicated.

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  • $\begingroup$ Do you mean this? $\endgroup$
    – M.B.
    Nov 4 '13 at 15:08
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Two by two matrices can be realised as linear transformations/functions on the plane. The determinant of a two by two matrix is the (signed) area of the transformation of the unit square (corners $(0,0),(1,0),(0,1),(1,1)$).

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  • $\begingroup$ thanks. I am just looking at it if we have standardized values in these matrices. I am not a mathematician and am a naïve applied statistician. I am interested in understanding whether Det indicates the magnitude of interrelatedness (mutual). please bear with my novice knowledge. $\endgroup$ Nov 4 '13 at 15:24
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    $\begingroup$ Ah... well the first column of your matrix describes what the matrix will do to $(1,0)$ and the second column describes where $(0,1)$ will go. If the two columns are equal for example then the two points are sent to a single point and the transformed unit square is now a line... with an area of 0. $\endgroup$ Nov 4 '13 at 15:28

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