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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 the difference between abstract algebra and linear algebra?
Linear algebra concerns vector spaces whether finite- or infinite-dimensional. Abstract algebra, or modern algebra, includes linear algebra, along with many other kinds of objects, such as groups, rings, fields, lattices, and so on. In part, it was an attempt to put mathematics on a more rigorous footing. Please see the links.
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 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.
How Boolean algebra is different from linear algebra?
Well, hello there! Boolean algebra and linear algebra are like two different colors on your palette. Boolean algebra deals with true or false values, like painting with just black and white. Linear algebra, on the other hand, involves operations on vectors and matrices, adding more colors and shades to your artistic expression. Both are beautiful in their own way, just like how every brushstroke adds to the beauty of a painting.
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.
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 are the key differences between discrete math and linear algebra?
Discrete math deals with distinct, separate values and structures, while linear algebra focuses on continuous, interconnected systems of equations and vectors. Discrete math involves topics like set theory, logic, and graph theory, while linear algebra focuses on matrices, vectors, and linear transformations.
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'
