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Non Square Matrices:

  • They always mean a change in dimension
  • The number of rows, is the dimension of the space after the transformation
  • The span of 3x2 matrix is a 2D plane.
  • Since the number of dimensions has not changed a 3x2 matrix is still Full Rank

Questions:

  1. What is the Rank of a 2x3 matrix? 2, since the maximum number of dimensions is reduced to 2. this is not a full rank matrix, since the dimension reduced from 3 to 2.