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Algorithms :: Maths :: some mathematics Questions
By: leoahmad	Date: 05/09/2003 00:00:00	Points: 125	Status: Answered Quality : Excellent
what is difference between matrices and determinants what is difference between algebra and linear algebra what is difference between applied and pure mathematices kindly post details.
By: grg99	Date: 05/09/2003 23:20:00		Type : Assist
what is difference between matrices and determinants A matrix is just a 2-dimensional array of numbers. Often the matrix represents the coefficients of a set of equations. You can solve the equations by using methods like "Gaussian reduction". "Determinants" are a rather old-fashioned way of solving simultaneous equations. Both methods work, personally the gaussian reduction method makes a whole lot more sense to me. ---- what is difference between algebra and linear algebra Algebra is the whole solving shebang, but loosely speaking it means just solving equations for X. Linear algebra is solving N equations with Q unknowns, usually done with tricks klike determinants and gaussian reduction. ----------- what is difference between applied and pure mathematices. Here's a real-world example: Pure math is: "Find out the general solution to packing 6 spheres in the minimum volume" (actually this is more a question in topology, but that's still "math") Applied Math is: "Find out if you can pack 6 atoms of Flourine and one of Uranium in some really tight way that could cause the whole mess to explode" --------------- (This sounds like homework, but what the heck, nobody's going to get an undeserved PhD for this )

By: jeffydoody	Date: 05/09/2003 23:24:00		Type : Assist
"what is difference between applied and pure mathematices" Will post some links for you shortly. Applied matematics is mathematics that is used in other science. Mathematical physics is applied. Branches of Math that are purely used in Mathematics such as a course on proofs. They are not mutually exclusive, however. Linear algebra is the study of vector spaces and linear transformations while algebra is the study of formal manipulations of equations involving symbols and numbers. A matrix is an n x n array while the determinant is a property of a matrix. I only have a undergraduate degree in Math so I'm sure others here can give you a more complete answer.

By: mrdtn	Date: 05/09/2003 23:32:00		Type : Comment
>> A matrix is an n x n array ? A square matrix is. A matrix is in general m x n. A determinant is a property of a square matrix only.

By: jeffydoody	Date: 05/09/2003 23:37:00		Type : Comment
oopps my bad meant m x n.

By: GwynforWeb	Date: 05/09/2003 23:40:00		Type : Assist
Matrix Determinant A matrix is a n by m block of numbers, (to indicate it is matrix they are between large curved lines). They are most commonly the coefficients asscoaited with a syetem of liear equations eg for 6x - 3y =0 -14x +7 =1 the matix is 6 -3 -14 7 matices do not have to square and can be any size A determinant is a single number associated a square ie n by n matrix, (it is represented by the values of the matrix betwen straight lines). It has important properties and is very useful eg if the determinant of a matrix of system of linear equations is zero then that system wil not a unique solution or possibly any solution at all. For a 2 by 2 matrix a b c d the determinant is ad - cd for the example I showed 67- (-14)(-3) = 0 . The system in this case has no solution. Linear algebra This for most people refers to the algebra of matrices and vectors, it is called linear as everything can be taken through the brackets (basically the definiton of linear) as in arithmetic eg A(3x + 2y) = 3Ax +2Ay a=matrix x,y vectors More precisely it refers to the algebra of linear operators, matices are the commonly seen but there are others eg the differential operator D D(2f+3g) = 2Df + 3Dg f,g functions ie the deivative of 2f+3g = the 2derivative of f + 3 derivative of g Applied/Pure Maths This depends on who you talk to but basically Pure Maths is the development of mathematical techniques, Applied Maths is he applying of those thechniques ( in a rigorous manner). examples pure maths Abstarct Algebra, real analysys, group theory, discrete mathematics, Logic Applied Maths Special functions, Diffrential equations, mathematical physics, Fourier analysis, laplace transforms. Hope that helps GfW

By: jeffydoody	Date: 06/09/2003 00:36:00		Type : Comment
Very brief on division of applied vs. pure and one colleges view on which courses belong where: <A HREF="http://www.newton.dep.anl.gov/newton/askasci/1993/math/MATH025.HTM">http://www.newton.dep.anl.gov/newton/askasci/1993/math/MATH025.HTM</a> <A HREF="http://www.math.okstate.edu/undergrad/handbook/node20.html">http://www.math.okstate.edu/undergrad/handbook/node20.html</a> A good rule of thumb would be to consider the problem at hand (not the branch as virtually every branch is useful in describing some type of real system) and see if it relates to a physical problem. For example solving an equation on its own is pure but solving one that describes some type of real world system is applied imo anyway.

By: VGR	Date: 06/09/2003 02:51:00		Type : Comment
GfW is right about matrices and determinants (very useful sometimes) and algebra vs linear algebra (you also have a lot of different algebrae, and one Algebra embracing them all) pure maths are Maths applied maths are Maths applied to some domain, for example scientific computing, meteorological prevision, stock values trend analysis, etc

By: GwynforWeb	Date: 06/09/2003 03:05:00		Type : Comment
"the determinant is ad - cd" should read "the determinant is ad - bc"

By: klopex	Date: 08/09/2003 01:16:00		Type : Comment
Are these homework questions?

By: leoahmad	Date: 08/09/2003 11:55:00		Type : Comment
Klopex, how you think this is a home work, this is not. I am oracle certified professional(see my profile) and love mathematics and when you love something you want to know every thing about that. So it is just my interset in Mathematics and nothign else. LeoAhmad

By: klopex	Date: 09/09/2003 21:56:00		Type : Comment
Leoahmad, I meant you no offense. I did not read your profile. I saw your question which sounded like a beginning of the school year question. Most colleges have just started back up. I try to be sensitive to the nature of questions before I attempt to answer them, so that I help people with homework questions without doing their homework for them. Good Luck with your love of math, "the queen of the sciences."

By: leoahmad	Date: 11/09/2003 20:28:00		Type : Comment
Klopex, If Maths is the queen of the sciences then who is the KING. Interseting.... LeoAhmad

By: VGR	Date: 11/09/2003 21:18:00		Type : Answer
Logic ? :D

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