Suppose $E$ is a $m \times n$ matrix of rank $n$, ($n < m$). $F$ is another matrix of order $n \times m$ such that $$ FE = I_n $$ where $I_n$ is the Identity matrix of order $n$. My question: is it necessary that $\mathrm{rank}(F) = n$?
2026-03-27 03:41:08.1774582868
Rank of a matrix in a matrix product
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