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Linear algebra is particularly useful for organizing and simplifying data.
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'''Linear algebra''' is the branch of [[mathematics]] that deals with [[vector]]s, vector spaces, linear maps, and systems of linear [[equation]]s. Topics studied in Linear algebra include Linear equations, Matrices, [[Matrix]] decompositions, Computations, Vectors, Vector spaces, Multilinear algebra, Affine space, Projective space.<ref>[http://www.m-w.com/cgi-bin/dictionary?book=Dictionary&va=linear+algebra Merriam Webster definition of Linear Algebra]</ref>  
 
'''Linear algebra''' is the branch of [[mathematics]] that deals with [[vector]]s, vector spaces, linear maps, and systems of linear [[equation]]s. Topics studied in Linear algebra include Linear equations, Matrices, [[Matrix]] decompositions, Computations, Vectors, Vector spaces, Multilinear algebra, Affine space, Projective space.<ref>[http://www.m-w.com/cgi-bin/dictionary?book=Dictionary&va=linear+algebra Merriam Webster definition of Linear Algebra]</ref>  
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Linear algebra has numerous applications in [[engineering]], [[chemistry]] and [[physics]].  
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Linear algebra has numerous applications in [[engineering]], [[chemistry]] and [[physics]].  Linear algebra is particularly useful for organizing and simplifying data.
    
The three most vexing computations in linear algebra are these:
 
The three most vexing computations in linear algebra are these:
 
#linear equations
 
#linear equations
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#least squares
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#least squares ([[data fitting]]_
 
#finding the eigenvalues of an ''n x n'' matrix for n > 3.
 
#finding the eigenvalues of an ''n x n'' matrix for n > 3.
  
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