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Is it possible to write down matrix with variable row.

I wish to find out Moore Penrose psudo inverse of a matrix with variable row $4 \times k$ matrix with $k \in \mathbb{N}$ with entries a function of k. Is it possible to write down in SAGE?

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Is it possible to write down matrix with variable row.

I wish to find out Moore Penrose psudo inverse of a matrix with variable row $4 \times k$ matrix with $k \in \mathbb{N}$ with entries a function of k. Is it possible to write down in SAGE?