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6762 | 6762 | <ul class="metadata page-metadata" data-bi-name="page info" lang="en-us" dir="ltr">
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6763 | 6763 |
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6764 | 6764 | Last update:
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6765 |
| - <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-date" title="April 19, 2025 03:11:59">April 19, 2025</span>  |
| 6765 | + <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-date" title="April 19, 2025 07:56:55">April 19, 2025</span>  |
6766 | 6766 |
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6767 | 6767 | <!-- Tags -->
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6768 | 6768 |
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@@ -6917,11 +6917,11 @@ <h3 id="matrix-form">Matrix form<a class="headerlink" href="#matrix-form" title=
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6917 | 6917 | \end{pmatrix}
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6918 | 6918 | $$</div>
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6919 | 6919 | <p>where <span class="arithmatex">$F_1 = 1, F_0 = 0$</span>.
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6920 |
| -In fact, since |
6921 |
| -$$ |
6922 |
| -\begin{pmatrix} 1 & 1 \ 1 & 0 \end{pmatrix} |
6923 |
| -= \begin{pmatrix} F_2 & F_1 \ F_1 & F_0 \end{pmatrix} |
6924 |
| -$$</p> |
| 6920 | +In fact, since </p> |
| 6921 | +<div class="arithmatex">$$ |
| 6922 | +\begin{pmatrix} 1 & 1 \\ 1 & 0 \end{pmatrix} |
| 6923 | += \begin{pmatrix} F_2 & F_1 \\ F_1 & F_0 \end{pmatrix} |
| 6924 | +$$</div> |
6925 | 6925 | <p>we can use the matrix directly:</p>
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6926 | 6926 | <div class="arithmatex">$$
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6927 | 6927 | \begin{pmatrix} 1 & 1 \\ 1 & 0 \end{pmatrix}^n
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@@ -7031,7 +7031,7 @@ <h2 id="practice-problems">Practice Problems<a class="headerlink" href="#practic
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7031 | 7031 |
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7032 | 7032 | <ul class="metadata page-metadata" data-bi-name="page info" lang="en-us" dir="ltr">
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7033 | 7033 | <span class="contributors-text">Contributors:</span>
|
7034 |
| - <ul class="contributors" data-bi-name="contributors"><li><a href="https://github.com/gabrielsimoes" title="gabrielsimoes" data-bi-name="contributorprofile" target="_blank">gabrielsimoes</a> (23.79%)</li><li><a href="https://github.com/jakobkogler" title="jakobkogler" data-bi-name="contributorprofile" target="_blank">jakobkogler</a> (20.69%)</li><li><a href="https://github.com/jxu" title="jxu" data-bi-name="contributorprofile" target="_blank">jxu</a> (18.62%)</li><li><a href="#" title="Carlos Javier Blanco" data-bi-name="contributorprofile" target="_blank">Carlos Javier Blanco</a> (15.86%)</li><li><a href="https://github.com/madhur4127" title="madhur4127" data-bi-name="contributorprofile" target="_blank">madhur4127</a> (6.21%)</li><li><a href="https://github.com/tcNickolas" title="tcNickolas" data-bi-name="contributorprofile" target="_blank">tcNickolas</a> (5.17%)</li><li><a href="https://github.com/adamant-pwn" title="adamant-pwn" data-bi-name="contributorprofile" target="_blank">adamant-pwn</a> (2.4099999999999997%)</li><li><a href="https://github.com/Morass" title="Morass" data-bi-name="contributorprofile" target="_blank">Morass</a> (2.07%)</li><li><a href="https://github.com/md-shamim-ahmad" title="md-shamim-ahmad" data-bi-name="contributorprofile" target="_blank">md-shamim-ahmad</a> (1.72%)</li><li><a href="https://github.com/boxlesscat" title="boxlesscat" data-bi-name="contributorprofile" target="_blank">boxlesscat</a> (1.03%)</li><li><a href="https://github.com/yeetholmes619" title="yeetholmes619" data-bi-name="contributorprofile" target="_blank">yeetholmes619</a> (1.03%)</li><li><a href="https://github.com/pasthec" title="pasthec" data-bi-name="contributorprofile" target="_blank">pasthec</a> (0.69%)</li><li><a href="https://github.com/conlacda" title="conlacda" data-bi-name="contributorprofile" target="_blank">conlacda</a> (0.34%)</li><li><a href="https://github.com/ankit-kumar-dwivedi" title="ankit-kumar-dwivedi" data-bi-name="contributorprofile" target="_blank">ankit-kumar-dwivedi</a> (0.34%)</li></ul> |
| 7034 | + <ul class="contributors" data-bi-name="contributors"><li><a href="https://github.com/gabrielsimoes" title="gabrielsimoes" data-bi-name="contributorprofile" target="_blank">gabrielsimoes</a> (23.71%)</li><li><a href="https://github.com/jakobkogler" title="jakobkogler" data-bi-name="contributorprofile" target="_blank">jakobkogler</a> (20.62%)</li><li><a href="https://github.com/jxu" title="jxu" data-bi-name="contributorprofile" target="_blank">jxu</a> (18.56%)</li><li><a href="#" title="Carlos Javier Blanco" data-bi-name="contributorprofile" target="_blank">Carlos Javier Blanco</a> (15.81%)</li><li><a href="https://github.com/madhur4127" title="madhur4127" data-bi-name="contributorprofile" target="_blank">madhur4127</a> (6.19%)</li><li><a href="https://github.com/tcNickolas" title="tcNickolas" data-bi-name="contributorprofile" target="_blank">tcNickolas</a> (5.15%)</li><li><a href="https://github.com/adamant-pwn" title="adamant-pwn" data-bi-name="contributorprofile" target="_blank">adamant-pwn</a> (2.75%)</li><li><a href="https://github.com/Morass" title="Morass" data-bi-name="contributorprofile" target="_blank">Morass</a> (2.06%)</li><li><a href="https://github.com/md-shamim-ahmad" title="md-shamim-ahmad" data-bi-name="contributorprofile" target="_blank">md-shamim-ahmad</a> (1.72%)</li><li><a href="https://github.com/boxlesscat" title="boxlesscat" data-bi-name="contributorprofile" target="_blank">boxlesscat</a> (1.03%)</li><li><a href="https://github.com/yeetholmes619" title="yeetholmes619" data-bi-name="contributorprofile" target="_blank">yeetholmes619</a> (1.03%)</li><li><a href="https://github.com/pasthec" title="pasthec" data-bi-name="contributorprofile" target="_blank">pasthec</a> (0.69%)</li><li><a href="https://github.com/conlacda" title="conlacda" data-bi-name="contributorprofile" target="_blank">conlacda</a> (0.34%)</li><li><a href="https://github.com/ankit-kumar-dwivedi" title="ankit-kumar-dwivedi" data-bi-name="contributorprofile" target="_blank">ankit-kumar-dwivedi</a> (0.34%)</li></ul> |
7035 | 7035 | </ul>
|
7036 | 7036 |
|
7037 | 7037 | </article>
|
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