Q: Linear Algebra applications

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Linear regression can be used in statistics in order to create a model out a dependable scalar value and an explanatory variable. Linear regression has applications in finance, economics and environmental science.

Linear algebra deals with mathematical transformations that are linear. By definition they must preserve scalar multiplication and additivity. T(u+v)= T(u) + T(v) T(R*u)=r*T(u) Where "r" is a scalar For example. T(x)=m*x where m is a scalar is a linear transform. Because T(u+v)=m(u+v) = mu + mv = T(u) + T(v) T(r*u)=m(r*u)=r*mu=r*T(u) A consequence of this is that the transformation must pass through the origin. T(x)=mx+b is not linear because it doesn't pass through the origin. Notice at x=0, the transformation is equal to "b", when it should be 0 in order to pass through the origin. This can also be seen by studying the additivity of the transformation. T(u+v)=m(u+v)+b = mu + mv +b which cannot be rearranged as T(u) + T(v) since we are missing a "b". If it was mu + mv + b + b it would work because it could be written as (mu+b) + (mv+b) which is T(u)+T(v). But it's not, so we are out of luck.

Linear means in order Non-Linear means Organic

Positive Linear Relationships are is there is a relationship in the situation. In some equations they aren't linear, but other relationships are, that's a positive linear Relationship.

Strength and direction of linear relation. Closer to 1 is positive linear association, closer to -1 is positive negative association and closer to 0 means no linear relation. Remember that 0 does not mean that there is no relation - just no linear relation.

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Gareth Williams has written: 'A course in linear algebra' -- subject(s): Linear Algebras 'Practical finite mathematics' -- subject(s): Mathematics 'Linear algebra with applications' -- subject(s): Textbooks, Linear Algebras 'Applied college algebra' -- subject(s): Accessible book, Algebra 'Finite mathematics with models' -- subject(s): Mathematical models, Mathematics 'Linear algebra with applications' -- subject(s): Textbooks, Linear Algebras

John T. Scheick has written: 'Linear algebra with applications' -- subject(s): Algebras, Linear, Linear Algebras

One can study linear algebra and its applications at many educational institutions. One can also study it online at websites such as study mode. And if one chooses to study this subject at home there are books available online and in bookstores.

John W. Auer has written: 'Linear algebra with applications' -- subject(s): Linear Algebras

Z.-Q Cao has written: 'Incline algebra and applications' -- subject(s): Boolean Algebra, Linear Algebras

Larry E. Mansfield has written: 'Linear algebra, with geometric applications' -- subject(s): Geometry, Linear Algebras

James DeFranza has written: 'Introduction to linear algebra with applications' -- subject(s): Algebras, Linear, Linear Algebras, Problems, exercises, Problems, exercises, etc, Textbooks

yes, also this question belongs in the linear algebra forum not the abstract algebra forum

Linear algebra is restricted to a limited set of transformations whereas algebra, in general, is not. The restriction imposes restrictions on what can be a linear transformation and this gives the family of linear transformations a special mathematical structure.

Lis - linear algebra library - was created in 2005.

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.

you don't go from algebra to calculus and linear algebra. you go from algebra to geometry to advanced algebra with trig to pre calculus to calculus 1 to calculus 2 to calculus 3 to linear algebra. so since you got an A+ in algebra, I think you are good.