Exercise 1.2.1

Question

Suppose $A \boldsymbol{x}=\mathbf{0}$ and $A \boldsymbol{y}=\mathbf{0}$ (where $\boldsymbol{x}$ and $\boldsymbol{y}$ and $\mathbf{0}$ are vectors). Put those two statements together into one matrix equation $A B=C$. What are those matrices $B$ and $C ?$ If the matrix $A$ is $m$ by $n$, what are the shapes of $B$ and $C$?

Neil Z. · Accepted Answer

$AB=A\begin{bmatrix}x & y\end{bmatrix}=\begin{bmatrix}0 & 0\end{bmatrix}$.
So If $A$ is $m$ by $n$, then $B$ is $n$ by $2$, and $C$
is $m$ by $2$.

Exercise 1.2.1

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Exercise 1.2.1

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