Left and Right Inverse of a Matrix.
A Matrix A (with dimensions m×n) which is not a square matrix (m≠n) does not have an inverse matrix A-1, such that
A-1×A = A×A-1 = I . However, such matrix might have a Left Inverse L or a Right Inverse R, such that
L×A = I and A×R = I . These inverses are calculated as: L = ( ATA )-1AT and R = AT( AAT )-1
A Matrix A (with dimensions m×n) which is not a square matrix (m≠n) does not have an inverse matrix A-1, such that
A-1×A = A×A-1 = I . However, such matrix might have a Left Inverse L or a Right Inverse R, such that
L×A = I and A×R = I . These inverses are calculated as: L = ( ATA )-1AT and R = AT( AAT )-1
Dimension of the matrix : ×
A =
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We are working hard to finish it, and you will be able to use it soon.