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Linear algebra has numerous applications in [[engineering]], [[chemistry]] and [[physics]].  
 
Linear algebra has numerous applications in [[engineering]], [[chemistry]] and [[physics]].  
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A detailed list of the topics covered by a typical college-level course in Linear algebra are:
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== Basic Concepts ==
    
*[[Linear equations]]
 
*[[Linear equations]]
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*Quadratic forms
 
*Quadratic forms
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More advanced topics include:
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== More advanced topics include ==
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*[[Linear spaces]]
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*[[Vector space]] (linear spaces)
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:*the conditions of a vector space
 
:*isomorphisms
 
:*isomorphisms
 
:*Nth dimensional spaces and subspaces
 
:*Nth dimensional spaces and subspaces
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