update
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@@ -404,7 +404,7 @@ MathJax.Hub.Config({
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</center>
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<br>
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<center>
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<h4>Aug 30, 2022</h4>
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<h4>Aug 31, 2022</h4>
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</center> <!-- date -->
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<br>
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@@ -954,7 +954,7 @@ $$
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<p>and</p>
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$$
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\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = (\boldsymbol{A}+\boldsymbol{A}^T)\boldsymbol{a},
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\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = \boldsymbol{a}^T(\boldsymbol{A}+\boldsymbol{A}^T),
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$$
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<p>and</p>
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@@ -404,7 +404,7 @@ MathJax.Hub.Config({
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</center>
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<br>
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<center>
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<h4>Aug 30, 2022</h4>
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<h4>Aug 31, 2022</h4>
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</center> <!-- date -->
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<br>
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@@ -184,7 +184,7 @@ MathJax.Hub.Config({
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</center>
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<br>
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<center>
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<h4>Aug 30, 2022</h4>
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<h4>Aug 31, 2022</h4>
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</center> <!-- date -->
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<br>
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@@ -4068,7 +4068,7 @@ $$
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<p>and</p>
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<p> <br>
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$$
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\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = (\boldsymbol{A}+\boldsymbol{A}^T)\boldsymbol{a},
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\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = \boldsymbol{a}^T(\boldsymbol{A}+\boldsymbol{A}^T),
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$$
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<p> <br>
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@@ -330,7 +330,7 @@ MathJax.Hub.Config({
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</center>
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<br>
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<center>
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<h4>Aug 30, 2022</h4>
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<h4>Aug 31, 2022</h4>
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</center> <!-- date -->
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<br>
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@@ -3884,7 +3884,7 @@ $$
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<p>and</p>
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$$
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\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = (\boldsymbol{A}+\boldsymbol{A}^T)\boldsymbol{a},
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\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = \boldsymbol{a}^T(\boldsymbol{A}+\boldsymbol{A}^T),
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$$
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<p>and</p>
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@@ -407,7 +407,7 @@ MathJax.Hub.Config({
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</center>
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<br>
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<center>
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<h4>Aug 30, 2022</h4>
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<h4>Aug 31, 2022</h4>
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</center> <!-- date -->
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<br>
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@@ -3961,7 +3961,7 @@ $$
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<p>and</p>
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$$
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\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = (\boldsymbol{A}+\boldsymbol{A}^T)\boldsymbol{a},
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\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = \boldsymbol{a}^T(\boldsymbol{A}+\boldsymbol{A}^T),
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$$
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<p>and</p>
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@@ -2915,7 +2915,7 @@ Show that
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and
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!bt
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\[
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\frac{\partial (\bm{a}^T\bm{A}\bm{a})}{\partial \bm{a}} = (\bm{A}+\bm{A}^T)\bm{a},
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\frac{\partial (\bm{a}^T\bm{A}\bm{a})}{\partial \bm{a}} = \bm{a}^T(\bm{A}+\bm{A}^T),
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\]
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!et
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and
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@@ -2953,3 +2953,5 @@ and written out in terms of the vector $\bm{x}$ we have
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\frac{\partial f(\bm{x})}{\partial \bm{x}}= \bm{A}.
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\]
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!et
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