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Linear algebra is used to analyze systems of linear equations. Oftentimes, these systems of linear equations are very large, making up many, many equations and are many dimensions large. While students should never have to expect with anything larger than 5 dimensions (R5 space), in real life, you might be dealing with problems which have 20 dimensions to them (such as in economics, where there are many variables).
Linear algebra answers many questions. Some of these questions are:
How many free variables do I have in a system of equations?
What are the solutions to a system of equations?
If there are an infinite number of solutions, how many dimensions do the solutions span?
What is the kernel space or null space of a system of equations (under what conditions can a non-trivial solution to the system be zero?)
Linear algebra is also immensely valuable when continuing into more advanced math topics, as you reuse many of the basic principals, such as subspaces, basis, eigenvalues and not to mention a greatly increased ability to understand a system of equations.
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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.
Are calculus and linear algebra courses hard for an individual who got an a plus in algebra?
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.
What is the difference between algebra and linear algebra?
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.
What is linear algebra?
"Linear algebra is a branch of mathematics that studies vector spaces, also called linear spaces, along with linear functions that input one vector and output another." (from Wikipedia)
How Boolean algebra is different from linear algebra?
Linear algebra works with straight lines on a plane. Boolean algebra is a very different form of maths, being logical calculus. Let me demonstrate linear algebra: 6x=2*5 6x=10 x=5/3 Boolean logic: (There exists) x xV(not)y (implies) f(x)=f^2(g)-F(y)
What are linear graphs used for?
they are used for working algebra things
Is there such thing as linear algebra?
yes, also this question belongs in the linear algebra forum not the abstract algebra forum
What is the different between algebra and linear algebra?
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.
When was Lis - linear algebra library - created?
Lis - linear algebra library - was created in 2005.
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.
Are calculus and linear algebra courses hard for an individual who got an a plus in algebra?
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.
The foil method is used for?
The foil method in algebra is used to "multiply linear binomials."The FOIL method is used in elementary algebra as a guide for solving algebraic problems.
What has the author Arthur Sylvester Peters written?
Arthur Sylvester Peters has written: 'Lectures on linear algebra' -- subject(s): Differential equations, Linear, Linear Differential equations 'Linear algebra' -- subject(s): Algebra
What is the difference between algebra and linear algebra?
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.
What does linear mean in Algebra?
Linear means a straight line.
What has the author Richard C Penney written?
Richard C. Penney has written: 'Linear Algebra, Textbook and Solutions Manual' 'Linear Algebra with Student Resource Manual and Survey Set' 'Linear Algebra 1st Edition with How Read Do Proofs Math 3rd Edition and Student Resource Manual Set' 'Linear Algebra, Solutions Manual' 'Student Resource Manual to Accompany, Linear Algebra'
What is linear algebra?
"Linear algebra is a branch of mathematics that studies vector spaces, also called linear spaces, along with linear functions that input one vector and output another." (from Wikipedia)
