Operations Definition and 317 Threads

If I have a matrix S = 0 0 0 0 ... 0 1 0 0 0 ... 0 0 1 0 0 ... 0 0 0 1 0 ... 0 ... 0 0 0 0 .1.0S^2 =0 0 0 0 ... 0 0 0 0 0 ... 0 1 0 0 0 ... 0 0 1 0 0 ... 0 ... 0 0 0 0 1.. 0etc. going in this way S^n would just be the zero matrix., How do I generalize S^n of this matrix?

hahaha uhhhh operations of e Homework Statement i'm reading this online math help thing, and i can't seem to memorize how/why this isHomework Equations how did they get this?edit* how did they get the answer from the left to the right side of the arrow? The Attempt at a Solution i know this...

Homework Statement How many different commutative binary operations can be defined on a set of 2 elements? On a set of 3 elements? The Attempt at a Solution I do not understand the question. Seems like an infinite number.

So I have really been struggling with this question. The original question said: The map \varphi:Z->Z defined by \varphi(n)=n+1 for n in Z is one to one and onto Z. For (Z, . ) onto (Z,*) (i am using . for usual multiplication) define * and show that * makes phi into an isomorphism. I know that...

Homework Statement X and Y are dimensionally different. (They have different units.) Select ALL the physically meaningful operations. State which are true or false 1. X/Y or X*Y 2. X+Y or X-Y 3. e^(X/Y) or e^(X+Y) 4. X^2 +Y^2 or X^X + Y^Y 5. X^2 or Y^2 6. X^(1/3) or Y^(1/3)...

I was reading that the "exchange rows" operation can be achieved through the other two operations: multiplication by a nonzero number and adding a multiple of one row to another. Any thoughts on the actual algorithm for achieving an exchange of rows through these other two operations? I...

Homework Statement The title of the thread says it all. The set is (0,1). Here are the operations : addition is such that 0+0=0, 0+1=1, 1+0=1 and 1+1=0. Multiplication is as follows : 0.0=0, 0.1=0, 1.0=0 and 1.1=1. 2. The attempt at a solution In order to be a field, the set and its...

Homework Statement 1) Let S be a set and p: SxS->S be a binary operation. If T is a subset of S, then T is closed under p if p: TxT->T. As an example let S = integers and T be even Integers, and p be ordinary addition. Under which operations +,-,*,/ is the set Q closed? Under which...

Homework Statement Carry out these operations as if they were calculations of experimental results, and express each answer in the correct units and with the correct number of significant figures: (d) (7.8 m - 0.34 m) / (1.15s + 0.82 s) Homework Equations V=d/t The Attempt at a...

Please help me to solve this problem. This was a question given in our end semester examination. The management of a certain garment factory is considering the construction of a new washing plant building. The project consists of 7 major activities. The information pertaining to the project...

Hello, I just started learning Elementary Linear Algebra. I've read through the first chapter in my book (Elementary Linear Algebra by Larson, Edwards, Falvo, 5th edition). There were two "Discovery" questions that try to see if you know how systems of equations work. I am unsure on both...

page.130 Ex.20 Ex.20 Show that if A and B are sets, then (A\capB) \bigcup (A\capB) = A. how do u solve this? The Attempt at a Solution

Homework Statement Dean's Furniture Company assembles regular and deluxe kitchen cabinets from precut lumber. The regular cabinets are painted white, and the deluxe are varnished. Both painting and varnishing are carried out in one department. The daily capacity of the assembly department is...

I can't see any native bitwise operators (like C++'s & and ^) in Maxima, is the right way to drop down into CLisp something like this? :lisp boole-and 5 7 Many thanks, Duncan

Let F:X->Y be an arbitrary function over sets X and Y. Why is F-1(Y) = X always true? Suppose B1 and B2 are some subsets of Y. Why is F-1(B1 \bigcap B2) = F-1(B1) \bigcap F-1(B2) always true? These aren't homework questions. I'm just curious. I saw these statements the other day, and I...

Hello everyone! I finished school 2 months ago and at the moment I'm looking forward to my study in physics :) As a preparation for it, I want to learn more about the mathematics physics use :) I read some books about vectors and matrices and came upon the term 'tensor' several times :)...

Hi, How can I find the following from an array with entries of 0, 1, and >1: Find the sum of all the entries in the matrix that are not equal to 0. Find the sum of all the entries in the matrix. Find the sum of all the zero and 1 entries in the matrix. How to remove the entries in the...

Homework Statement Ok so I am having difficulty doing significant digits for longer operations (i.e. cosine law) where you also have square roots and squares (I know they are simply multiplications) Homework Equations c^2 = a^2 + b^2 - 2ab(cosC) The Attempt at a Solution Here are...

I need to perform standard set theory operations such as union, intersection, difference on sets of integer numbers. Each set can have a few hundred elements and each operation can involve a few hundred sets. The operations can easily be written in Java using the Java Collections Framework...

Homework Statement If a<b...can I then say that a^2<b^2 or a^3<b^3 or even \sqrt{a}<\sqrt{b}?Why I ask is that usually in some of the induction questions I do with inequalities, they give an expression like x_{n+1}=x_n^2 -7 or something like that.

Homework Statement Let x and y be to vectors Verify whether |xy|<=|x|+|y| for all x,y The Attempt at a Solution My first problem with this question is that it does not tell us whether the operation xy is the same as x.y (dot product) or a cross product.

If a and b are four-vectors then are ka and a+b also four-vectors? My question arises because of the four-velocity, which always has magnitude c. So the sum or difference of two four-velocities will not generally be a four-velocity, but will it be a Lorentz invariant four-vector? If so...

Homework Statement Let the set Ar: r is an element of all real numbers and the set Br: r is an element of all real numbers be two indexed families of sets. Prove that (upside U r is an element of the reals Ar) U (upside U r is an element of the reals Br) is a subset of upside U r is an...

Homework Statement Prove the following statement: A is a subset of B if and only if (X/B) is a union of (X/A) Homework Equations The Attempt at a Solution I really don't understand how to prove these types of problems. I was thinking about proving the contrapositive, which...

Hello guys, I was wondering: say you have a structure: struct tag{ int a char b int b int c } how would you make int c equal to int a + int b for all variables of type struct tag? I have tried using pointers but it baffles me how you would make a global change in that all...

Homework Statement Exercise 1.2:2. (i) If G is a group Define an operation dG on |G| by dG(x, y) = x*y^-1. Does the group given by (G,dG) determine the original group G with * (I.e., if G1 and G2 yield the same pair, (G1,dG1) = (G2,dG2) , must G1 = G2?) There is a part II, but I would...

If I have a matrix A= \left( \begin{array}{ccc} 1 & 2 & 3\\ 0 & -1 & 4\\ 1 & 1 & 6 \end{array} \right) and I need to find A^{-1} I would just augment with the identity matrix and then do row operations. But if I want to use...

Homework Statement Homework Equations The answer is 417.42 Hz in the book, I just don't know the order of operations to solve this. The Attempt at a Solution Can you explain where I'm going wrong in my order of operations. Thanks

I am just interested is there anyway to solve these through a specific method by hand. I know that you can produce an algorithm so that you can solve these into upper triangle form but is there a way to do it by hand other than by inspection.

Supposing we have as 2 vector fields: F = x^2i + 2zj +3k and G = r^2e_r + 2\cos\Theta e_{\Theta} + 3\sin(2\phi) e_\phi how do i perform the following operations on them? - F\cdot r - F\times r - |G| - G\cdot r

i am faced with some homework in Resolve/C++ and encountered several problems ensures t1 = #t1 * #t2 -what do the pound signs before the variables mean? -what does it mean when one text "*" another text? hope someone can help. can't really find much resolve/C++ help online. thanks!

What are some examples of sigma algebra operations?

i have a matrix 4x4 like this 1 5 7 3 2 6 8 0 1 4 3 2 0 4 0 5 my teacher asks me to print out 1 2 3 4 each of the digits is from the 1st 2nd 3rd 4th rows it looks very simple, but because i just learned c for two months, i don't know how to code a program, true. could you help me...

Homework Statement How do you simplify : 1^3+2^3+3^3+4^3+...+99^3+100^3(mod4) Please try to explain the solution as detailed as possible or atleast so I can understand it. :smile:

Elementary Matrices: Let A be a mxn matrix. Write down mxm matrices Ers, Dr( \lambda ) and Trs( \mu ) Ers Swaps rows r and s, Dr( \lambda ) multiplies row r by \lambda Trs( \mu ) adds \mu times row s to row r compute the determinant of the three matrices you found I...

hi I'm guessing if anybody knows some work of some matematician about operations with infinites, not just the 0/0=inf/inf=inf*0 and so, but something advanced, like a deep study in infinites and zero math. i tried with google scholar, in the math sites, on the forums but i couldn't find...

Q: Given the points A(1,6,-2), B(2,5,3) and C(5,3,2). Use two different vector methods to determine whether ΔABC is a right angle triangle. hmmm vector methods...i'm not quite sure what to do but i have some ideas. for a first method, could i take the magnitude of each side and see if the...

Express in the simplest form the units resulting from the following. (1) [kg/m^2][m^2/sec], (2) [m^3/kg][kg^2/sec], (3) [m^5/sec^2] / [m^3/sec^3], (4) [(kg^2 x coul^2)/(sec^3)] / [(coul x kg)/(sec^2)]

So does anyone know what companies are going to be taking over port operations in the Bay Area and LA? I mean, doesn't the left want to thrust xenophobia into the spotlight and kick out foreign companies "running" US ports? China ring a bell anyone? Anyone?

we have 3 identical bodies of constant thermal capacity, two at 300K and one at 100k. we want to know the highest temperature that anyone of the bodies can be raised by the operation of heat engines. we already solved this problem in a tute, and we assumed the heat engines were reversible so...

What operation precedes, and what operation follows the sequence below? ...addition, multiplication, exponentiation...

Hello. I was wondering how I could prove if a set of numbers along with some arbitrary operation is an abelian group.

Let consider this small example...I find it interesting, but I think it does not in fact tell anything about reality : You are in presence of somebody, and another one enters the scene :Operation "times" : a) subjectively (as seen from you), the number of person is for you : x 2 : 1...

Hi guys! can anybody suggest me any link from where i can get a detailed understanding of large signal operations of MOSFETs? Thanks in advance

as far as intro linear algebra is concerned, there's no such thing as matrix division and its not valid to say that for a linear transformation T(x) and its standard matrix A, A = \frac{T(\vec{x})}{\vec{x}} just because T(\vec{x}) = A\vec{x} Am I right?

I am working with the following equation: |1 -2 3| |6 -11 15| |4 -14 21| a. add -4 time Row1 to Row 3 b. add -6 times Row 1 to Row 2 c. add 6 times Row 2 to Row 3 d. multiply row 3 by -1/9 I have come up with the following answer: |24 -48 72| |180...

Little help please and some work checking. Given f(x)=3x+2 and g(x)=\frac{x-4}{2x} It asks for g(\frac{1}{x}) So substitute in: \frac{\frac{1}{x} - 4}{2(\frac{1}{x})} Simplify: \frac{\frac{1}{x} - 4}{\frac{2}{x}} I multiply top and bottom by x right? That would give: \frac{1 -...

http://www.venezuelanalysis.com/news.php?newsno=1736

This problem comes from Halmos's Finite Dimensional Vector Spaces. Given that we can re-define addition or multiplication or both, is the set of all nonnegative integers a field? What about the integers? My thinking is that since the Rational numbers form a field, and they are countable, we...

I read about symbols which simplify representing vectorial operations. For example A_\mu\hat{e_\mu}=\sum_{i=1}^{3} A_i\hat{e_i}=\vec{A} also \vec{A}\times\vec{B}=\sum_{i,j,k=1}^{3} \epsilon_{ijk}\hat{e_i}A_j B_k = \epsilon_{\lambda\mu\nu} \hat{e_\lambda} A_\mu B_\nu As an exercise i have...