one more backtick block
parent
5c4d46cea8
commit
f876541d4c
1 changed files with 4 additions and 4 deletions
|
@ -64,12 +64,12 @@ It follows that
|
|||
Since the subspace $C$ is transpose-invariant, we also have
|
||||
\[ \mathcal{P}(X^\top) = \mathcal{P}(X)^\top. \]
|
||||
We can now see that
|
||||
\[
|
||||
```math
|
||||
\begin{align*}
|
||||
d\Delta & = -\mathcal{P}(dA^\top Q A + A^\top Q\,dA) \\
|
||||
& = -\big[\mathcal{P}(A^\top Q\,dA)^\top + \mathcal{P}(A^\top Q\,dA)\big].
|
||||
d\Delta & = -\mathcal{P}(dA^\top Q A + A^\top Q\,dA) \\
|
||||
& = -\big[\mathcal{P}(A^\top Q\,dA)^\top + \mathcal{P}(A^\top Q\,dA)\big].
|
||||
\end{align*}
|
||||
\]
|
||||
```
|
||||
Plugging this into our formula for $df$, and recalling that $\Delta$ is symmetric, we get
|
||||
```math
|
||||
\begin{align*}
|
||||
|
|
Loading…
Add table
Reference in a new issue