Concern an m x n matrix A with a reduced sin- gular value decomposition, A = U_r DV_r^T, and the pseudoinverse A⁺ = V_r D^–1U^T_r.

Given any b in R^m, adapt Exercise 28 to show that A⁺b is the least-squares solution of minimum length.

Data From Exercise 28

Concern an m x n matrix A with a reduced sin- gular value decomposition, A = U_r DV_r^T, and the pseudoinverse A⁺ = V_r D^–1U^T_r.