Linear Algebra: Difference between revisions

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   A * A<sup>-1</sup> = A<sup>-1</sup> * A = I
   A * A<sup>-1</sup> = A<sup>-1</sup> * A = I
but
  A * B &ne; B * A

Revision as of 19:28, 20 November 2017

Given two matrices of the same size whose columns all sum to 1, the (cross) product of those will also have columns that total to 1.

 A * A-1 = A-1 * A = I

but

 A * B ≠ B * A