Exercise 3.2.45

Answers

The rank of $R^{T}$ is also $r$ . The example matrix $A$ has rank 2 with invertible $S$ :

P = [\begin{matrix} 1 & 3 \\ 2 & 6 \\ 2 & 7 \end{matrix}] P^{T} = [\begin{matrix} 1 & 2 & 2 \\ 3 & 6 & 7 \end{matrix}] S^{T} = [\begin{matrix} 1 & 2 \\ 3 & 7 \end{matrix}] S = [\begin{matrix} 1 & 3 \\ 2 & 7 \end{matrix}]

mathchakra

2022-01-23 14:00