Cleanup

Advanced/Linear Algebra 101/parts/3 matrices.tex

@@ -76,7 +76,7 @@ $$
 \pagebreak
 
 \definition{}
-We also multiply a matrix by a matrix:
+We can also multiply a matrix by a matrix:
 
 $$
 AB =
@@ -257,11 +257,11 @@ $
 \vfill
 \pagebreak
 
-The \say{transpose} operator is often used to write column vectors compactly. \\
+The \say{transpose} operator is often used to write column vectors in a compact way. \\
 Vertical arrays don't look good in horizontal text.
 
 \problem{}
-Consider the vectors $a = [1, 2, 3]^T$ and $b = [40, 50, 60]^T$ \\
+Consider the vectors $a = [1, 4, 3]^T$ and $b = [9, 1, 4]^T$ \\
 \begin{itemize}
 	\item Compute the dot product $ab$.
 	\item Can you redefine the dot product using matrix multiplication?