1) Define 3 x 3 matrix M first by generating a random matrix using RandomMatrix(3,3generator=1...9) such that the row reduced form reveals one free variable and then letting M equal this matrix. If you set M equal to the Random Matrix command, it will generate a different matrix every time. You do not want to this happen 2) using the matrix A that you defined in problem 1, define a vector b such that the matrix equation Mx = b can be solved and find it's solution.

Define nonsquare matrices A and B and a vector c such that following operation can be perform and perform the operation: A) A + B B) ( A - B)c C) define another vector c such that BV can be computed and computed D) solve the system of equation Ax = 0

Hey Everybody,

I have only been using Maple for a few weeks but have been very much enjoying the functionality of the with(VectorCalculus) tools. That said, I have been having some trouble evaluating vectors at specific values.

> with(VectorCalculus);
> P[0] := PositionVector([t, ln(t)]);
> N[0] := PrincipalNormal(P[0], t);
> P := eval(P[0], t = 1);

Is it possible the contour plot of these coupled equations

restart:with(plots): Nb := .2; Nt := .2; h1 := 1+a*sin(x);h2:= -b-d*sin(x); a := 1;b:=0.1;d:=0.1;F:=1-Q-d;Q:=-1;beta:=0.1;alpha:=0.1;G:=0.5;B:=0.5; eq1 := diff(alpha*f(y),y,y,y,y)+G*(diff(theta(y),y,y))+ B*(diff(phi(y),y,y))+6* beta*(diff(f(y),y,y))*(diff(f(y),y,y,y))^(2)+3* beta*(diff(f(y),y,y,y,y))*(diff(f(y),y,y))^(2)=0; eq2 := diff(theta(y), y, y)+Nb*(diff(theta(y), y))*(diff(phi(y...

Eleven new Clickable-Calculus examples have been added to the Teaching Concepts with Maple section of the Maplesoft website. That means some 74 of the 154 solved problems in my data-base of syntax-free calculations are now available. Once again, these examples and associated videos illustrate point-and-click computations in support of the pedagogic message of resequencing skills and concepts.

This message has been articulated in ...

This post is a further exploration of the optimization problem of finding a point on f(x) = sinh(x) - xe^-3x closest to the point (1,7).  The problem is part of our Teaching Concepts with Maple web site, a collection of video examples and Maple worksheets designed to illustrate how Maple can be used to generate...

Hi

I am trying to solve a Heat Transfer problem (of transient conduction in a 2D annulus of material with convective boundary conditions). I currently have a fixed heat transfer coefficient, but in reality this varies with surface temperature.

I am using the PDEsolve meothod to solve the equation. Is there a way of linking the temperature at the end of each time step into an equation to calculate h.

I am a Maple/programming...

Is it possible to have a contour plot of an ode, 

restart:with(plots);alpha:=1:

de1:=alpha*diff(f(y),y$4)+(diff(f(y),y$2)*diff(f(y),y$3)^2+diff(f(y),y$4)*diff(f(y),y$2)^2);

with  such type of bcs?

bc1:= f(1+sin(x)) = .95, f(-.1-.1*sin(x)) = -.95, (D(f))(1+sin(x)) = -1, (D(f))(-.1-.1*sin(x)) = -1;

contourplot({de1,bc1}, [x,y, f(y)],x=1..10, y=1..10);

Thanks

Let A(2 , -2 , 0) B( 4 , 2 , 5 ) & C( -1 , -3 , 0).Find  H(x,y,z) be the orthocentre of the triangle ABC.

Let N(1, 1)=1 and N(1,k)=0 if k<>1. Let N(s+1,k) = N(s,k) + N(s,k-1) + N(s,k+1).
Acting in such a way, we obtain  the triangle
         1
       1,1,1
    1,2,3,2,1
  1,3,6,7,6,3,1
.................,
where only the nonzero terms are shown.
What is the explicit formula for N(s,k)? How to find it with Maple?

how to solve two equations simultaneously in maple and also i want to get only real values,, just omit the imaginary results.. anyone help to me

Thankyou

Hello,

I want to build a paper model of an immersion of real projective plane made out of paper strips. I want to use maple to plot the curves which represent the paper strips. I have written a code shown below which computes the curve for one of the strips. In this code, alpha is set to Pi/2 and the computation goes through. However the computation should be performed for various alpha. But if I set alpha=0, then f (see code below) is not computable, if I set alpha=Pi/4,...

eq1:=diff(f(eta),eta,eta,eta)+f(eta)*diff(f(eta),eta,eta)+beta*(1-diff(f(eta),eta)^2)=0;

eq2:=diff(theta(eta), eta, eta)+pr*f(eta)*(diff(theta(eta), eta))+pr*Ec*(diff(f(eta), eta, eta))^2

+(2-beta)*pr*Q*theta(eta) = 0;

bc:=theta(9)=0,D(theta)(0)=-Nc*(1-theta(0)),f(0)=1,D(f)(0)=lambda,D(f)(9)=1};

Para:={beta=1,Ec=0.5,Q=-0.5,Nc=5,pr=3}:

How to plot -D(theta)(0) vs lambda?

Thanks

How many positive integer solutions (a,b,c) to 2a+3b+3c=2010

I created a math related blog, named ottomath, on Goggle blogger. My Maple 14 is on a PC. I post from a Mac.  Had to copy the Maple file to Word.  Then copy each input or output image to Paint to save as JPG, and then insert each image into the correct spot on the blog.  Very tedious.  Hard to control size.  Lots of unwanted spaces.  Is there a better way?