Answered: If matrix A is full row-rank, then use…

If matrix A is full row-rank, then use SVD to prove that the pseudo inverse is given by A+ = AT(AAT)-1, which happens to be the right inverse of the matrix A.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 64E

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If matrix A is full row-rank, then use SVD to prove that the pseudo inverse is given by A⁺ = A^T(AA^T)^-1, which happens to be the right inverse of the matrix A.

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