Block matrix pseudoinverse: Difference between revisions

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== Derivation ==
Consider a column-wise partitioned matrix:
:<math> [\mathbf A, \mathbf B], \qquad \mathbf A \in \reals^{mn\times nm}, \qquad \mathbf B \in \reals^{mp\times pm}, \qquad m \geq n+p.</math>
 
If the above matrix is full rank, the [[pseudoinverse]] matrices of it and its transpose are as follows.