Calculate the Moore-Penrose pseudoinverse A+A^+A+ for the matrix A=(1000)A = \begin{pmatrix} 1 & 0 \\ 0 & 0 \end{pmatrix}A=(1000).
(1000)\begin{pmatrix} 1 & 0 \\ 0 & 0 \end{pmatrix}(1000)
(0001)\begin{pmatrix} 0 & 0 \\ 0 & 1 \end{pmatrix}(0001)
(1111)\begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix}(1111)
Does not exist