What is the Definition of Moduli of Elasticity?

[Ishu]

HI, I am taking linear algebra this semester, So i wanted to know..what does linear algebra deals with? Is it really hard? Can sonme one shed some light?

 

[matt grime]

The hadnwavy stuff:

It deals with potentially any aspect of maths that is algebraic, so involves operations of addition and multiplication, and such that these operations are linear. Something earns the title linear if it has to do with lines, planes and so on. Such things can be given by equations that are linear in the sense of they only involve x,y etc and NOT x^2, y^2 or higher powers.

It is a vast subject, and it is very easy to learn, hard to describe because there is so much of it. I suspect your course will deal with:

vectors, vector spaces, linear maps (matrices), solving linear equations in more than one unknown. It might go on to talk about determinants, eigenvectors, eigenspaces.

It is practical, and has a very elegant theoretical aspect as well, but above all what you're going to do with it is most definitely not difficult.

 

[dy/dx]

Good definition!

Here is mine

Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (or linear spaces), linear transformations, and systems of linear equations. Vector spaces are a central theme in modern mathematics; thus, linear algebra is widely used in both abstract algebra and functional analysis. Linear algebra also has a concrete representation in analytic geometry. ...
May sound complicated, not really though...

 

[matt grime]

for me the reference to functional analysis and analytic geometry is unnecessary, confusing, and overly complicated. who is going to even need to know what analytic geometry is?

 

[Kouros Khamoushi]

Linear Algebra

HI, I am taking linear algebra this semester, So i wanted to know..what does linear algebra deals with? Is it really hard? Can sonme one shed some light?

Hello,
Linear Algebra is indispensable for the study of the most topics in physical, biological, social, and natural sciences. For examples It deals with systems of linear equations and matrices. Determinats, Vector space, Real inner product space Linear transformations, Eginvalues, Eginvactors, and Quadratic forms. There are more about matrix and decompositions in higher rank, but in the elementary Linear Algebra you are dealing with previuos subject.
Kouros

 

[dy/dx]

In english that would mean
y=x+c
or
y=ax^2+bx+c
...kind of equations... So don't be discouraged by the words used in the various definitions given.

 

[mathwonk]

linear algebra is like oatmeal, not much to it, but it will never let you down, and is frequently useful.


actually there is no such thing as linear algebra but there is such a thing as a linear differential operator. i.e. learn about linear differential equations and you will understand linear algebra.:tongue:

 

[mathwonk]

linear algebra is like oatmeal, not much to it, but it will never let you down, and is frequently useful.
actually there is no such thing as linear algebra but there is such a thing as a linear differential operator. i.e. learn about linear differential equations and you will understand linear algebra.:tongue:

i.e. if sin(x) and cos(x) are both solutions of y'' + y = 0, why is 2sin(x) + 7cos(x) also a solution? that is linear algebra.:!)

 

[Kouros Khamoushi]

This is not Linear Algebra You are talking about

In english that would mean
y=x+c
or
y=ax^2+bx+c
...kind of equations... So don't be discouraged by the words used in the various definitions given.

NOTICED !

Hello
what are you talking about is Algebra not Linear Algebara.

 

[Kouros Khamoushi]

As I define that the subject of linear Algebra are:
It deals with systems of linear equations and matrices. Determinats, Vector space, Real inner product space Linear transformations, Eginvalues, Eginvactors, and Quadratic forms. There are more about matrix and decompositions in higher rank, but in the elementary Linear Algebra you are dealing with previuos subject.

 

[Kouros Khamoushi]

Hello these equation
What are you writing for example: y=x+c y=ax^2+bx+c is belong to subject of Algebra.
Regards
Kouros

 

[Kouros Khamoushi]

No differential equations is other subject of mathematics. As I have studied both of that, it is simply deals with vectors and vector spaces. It is not really difficult subject, it is very useful and there are a lot of applications where you can use that.

 

[Kouros Khamoushi]

Matt Grime, you are right and that definition is perfect.

 

[Kouros Khamoushi]

coordinate geometry

The study of the geometry of figures by algebraic representation and manipulation of equations describing their positions, configurations, and separations. Analytic geometry is also called coordinate geometry since the objects are described as -tuples of points (where in the plane and 3 in space) in some coordinate system.

 

[Kouros Khamoushi]

Can someone define what is Moduli of elasticity ?

 

[fasterthanjoao]

i've just finished my course in linear algebra. and at my university, it wasn't just boring (to me anyway) but it was a giant waste of time. unfortunately, we covered more complex linear algebra material in our calculus course than in the actual LA course.

linear algebra is good for a backbone, deals with vectors and matrices plenty which become very useful in physics. I tried to do algebra instead but they insist on physicists here taking the LA course instead which seems to be about a third of the intensity, anyone know why that might be? i guessed they might want to introduce kinds of math in physics itself but I think i'd have preferred to boost my math knowledge as high as possible.

my LA course was easy with a bit of work, subjective of course but meh, you'll be fine.

 

[Kouros Khamoushi]

It is very useful subject you use that for all your scientific field in computer science programming and all Engineering and sciences. There are 2 kinds of course in my University one is Linear Algebra, and other is higher rank called Matrix. Which deal with LU decompositions.

 

[Kouros Khamoushi]

Can someone define what is Moduli of elasticity ?

Can someone define what is Moduli of elasticity ?

The modoli of elasticity Elastic compliance and stifness constants. For example Hook's law state that for small deformations the strain is proportional to the stress, so that strain components are linear functions of the stress components.
Cxx=s11Xx+S12 Yy+s13+s14Yz+s15Zx+S16Xy;
Cyy=s21Xx+S22 Yy+s23+s24Yz+s25Zx+S26Xy;
Czz=..........;
Cyz=..........;
Czx=..........;
Cxy=..........;