Math 2.0

concept

Equivalent matrices

Summary

Two matrices of the same size are equivalent when B=Q−1APB = Q^{-1} A P for invertible matrices PP and QQ; this holds exactly when they have the same rank.

What this node needs for W2
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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Sources

  1. Web https://en.wikipedia.org/wiki/Matrix_equivalence, lead section