Exercise 1.1.13

Question

Create a 4 by 4 matrix $A$ of rank $2$. What shapes are $C$ and $R$?

Neil Z. · Accepted Answer

Define
$$A=\begin{bmatrix}1 &0 & 1 &1 \ 0 & 1 & 1 & -1 \ 0 &0 & 0 &0 \ 0&0&0&0\end{bmatrix}.$$
Then, $A$ has a rank of $2$, $C$ has dimension $4\times 2$, and $R$ has a dimension of $2\times 4$.

Exercise 1.1.13

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Exercise 1.1.13

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