Skip to content

Commit 351a5ae

Browse files
committed
Minor latex edits so codespell avoids 'te'
1 parent fe4fc95 commit 351a5ae

File tree

2 files changed

+6
-7
lines changed

2 files changed

+6
-7
lines changed

Chapters/chapter4.tex

Lines changed: 3 additions & 4 deletions
Original file line numberDiff line numberDiff line change
@@ -3032,9 +3032,8 @@ \section{Solutions to Chapter Problems}
30323032
0&1 + t + {{t^2}\over{2}} + {{t^3}\over{3!}} + \cdots\cr
30333033
}\right] \\
30343034
&=&\left[\matrix{
3035-
e^t&
3036-
te^t\cr
3037-
0&e^t\cr
3035+
e^t & t e^t\cr
3036+
0 & e^t\cr
30383037
}\right]
30393038
\end{eqnarray*}
30403039
\item[d,e)] We are looking for all matrices that satisfy $B^2=A$. Let
@@ -4068,4 +4067,4 @@ \section{Solutions to Chapter Problems}
40684067
\end{eqnarray*}
40694068

40704069

4071-
\end{enumerate}
4070+
\end{enumerate}

Chapters/chapter6.tex

Lines changed: 3 additions & 3 deletions
Original file line numberDiff line numberDiff line change
@@ -1779,7 +1779,7 @@ \subsection{The matrix exponential and differential equations}
17791779
cases. Consider the matrix $A=\left[\matrix{1&1\cr0&1}\right]$. This
17801780
matrix does not have a basis of eigenvectors. So it cannot be
17811781
diagonalized. However, in a homework problem, you showed that $e^{tA}
1782-
= \left[\matrix{e^t&te^t\cr 0&e^t}\right]$. Thus the solution to
1782+
= \left[\matrix{e^t & t e^t\cr 0 & e^t}\right]$. Thus the solution to
17831783
\[
17841784
\yy'(t) = \left[\matrix{1&1\cr 0&1}\right]\yy(t)
17851785
\]
@@ -1790,8 +1790,8 @@ \subsection{The matrix exponential and differential equations}
17901790
is
17911791
\[
17921792
\yy(t) = e^{tA}\left[\matrix{2\cr 1\cr}\right]
1793-
=\left[\matrix{e^t&te^t\cr 0&e^t}\right]\left[\matrix{2\cr 1\cr}\right]
1794-
=\left[\matrix{2e^t+te^t\cr e^t\cr}\right]
1793+
=\left[\matrix{e^t & t e^t\cr 0 & e^t}\right]\left[\matrix{2\cr 1\cr}\right]
1794+
=\left[\matrix{2e^t + t e^t\cr e^t\cr}\right]
17951795
\]
17961796
Notice that this solution involves a power of $t$ in addition to
17971797
exponentials.

0 commit comments

Comments
 (0)