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Linear Algebra is a special "subset" of algebra in which they only take care of the very basic linear transformations. There are many many transformations in Algebra, linear algebra only concentrate on the linear ones.
We say a transformation T: A --> B is linear over field F if
T(a + b) = T(a) + T(b) and kT(a) = T(ka)
where a, b is in A, k is in F, T(a) and T(b) is in B. A, B are two vector spaces.
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What is the difference between algebra one and algebra two?
A harder version of algebra 1
What is difference between algebra and advanced algebra?
Adv. is accelerated most likely.
What is the difference between integrated algebra and algebra 1?
Algebra 1 is a class/course that is on a higher level than Algebra.
What is the relationship between linear algebra and economics?
Many problems in economics can be modelled by a system of linear equations: equalities r inequalities. Such systems are best solved using matrix algebra.
Is linear algebra and linear equations the same?
Linear Algebra is a branch of mathematics that enables you to solve many linear equations at the same time. For example, if you had 15 lines (linear equations) and wanted to know if there was a point where they all intersected, you would use Linear Algebra to solve that question. Linear Algebra uses matrices to solve these large systems of equations.
