![[1a] Repeated Eigen Values](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault5-160x90.jpg)
![[1b] Repeated Eigen Values](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault6-160x90.jpg)
![[1c] Repeated Eigen Values](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault7-160x90.jpg)
![[2] Homogeneous System: Initial-Value Problem](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault8-160x90.jpg)
![[3a] Complex Eigen values](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault10-160x90.jpg)
![[3b -part 2] Solution of Linear Systems: Real and Complex eigenvalues](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault4-160x90.jpg)
![[3c] Linear System: Real and Complex eigenvalues](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault12-160x90.jpg)
Category: Homogeneous Linear Systems
Homogeneous Linear Systems
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[latexpage] Find the general solution of the given system. $ X'=\left( \begin{array}{lr} 12&-9\\ 4&0 \end{array} \right)X$ [Solution] \begin{align*} \frac{dx}{dt} &=3x+2y+4z \\ \frac{dy}...
![[1a] Repeated Eigen Values](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault5-320x180.jpg)
[1a] Repeated Eigen Values
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![[1b] Repeated Eigen Values](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault6-320x180.jpg)
[1b] Repeated Eigen Values
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![[1c] Repeated Eigen Values](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault7-320x180.jpg)
[1c] Repeated Eigen Values
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![[2] Homogeneous System: Initial-Value Problem](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault8-320x180.jpg)
[2] Homogeneous System: Initial-Value Problem
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![[3a] Complex Eigen values](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault10-320x180.jpg)
[3a] Complex Eigen values
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[3b-part 1] Solution of a Linear System: Real and Complex eigenvalues
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![[3b -part 2] Solution of Linear Systems: Real and Complex eigenvalues](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault4-320x180.jpg)
[3b -part 2] Solution of Linear Systems: Real and Complex eigenvalues
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![[3c] Linear System: Real and Complex eigenvalues](https://web.archive.org/web/20130607120716im_/http://math.rareinfos.com/wp-content/blogs.dir/2/files//2012/10/maxresdefault12-320x180.jpg)
[3c] Linear System: Real and Complex eigenvalues
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