Solving Equations...

Im new to maple and im stuck! How would i "Calculate an approximate real solution, correct to 10sigfig, of hte equation x^3+x-1+0"? Thanx x

Normal Matrices...

Again we have the unitary and Hermitian matrices U and H related by, U = exp(i*a*H) (a) If the trace of H = 0, show that the determinant of U = +1. (b) If the determinant of U = +1, show that the trace of H = 0. Given Hint: H may be diagonalized by a similarity transformation. Then interpreting the exponential by a Maclaurin expansion, U is also diagonal. The corresponding eigenvalues are given by u[j] = exp(i*a*h[j] v/r, Guidance welcomed and appreciated

Implicit Plot with Trig...

Hi guys, I'm currently using Maple 10, however, I can't seem to plot this function: >implicitplot(cos(x+y)=xy^2,x=-2..2,y=-2..2); When I press enter, it just says: "Error in implicit plot could not evaluate expression." Anyone know?

Define function on different intervals...

How do I define a function on different intervals? For example, how to define y(x): y(x) = f(x) for x=a..b g(x) for x=b..c Hope anyone can help

matrix storage ?...

Using maple 10, when I store say a 15 x 1 matrix I get the placeholder (1..15 Vector[column], Datatype=anything....) When I close the document and open it back up, all af the data I typed in is gone. What's up with this?

write a procedure to solve a given tridiagonal sys...

I am trying to gain some experience in maple coding, frankly I'm terrible so a tutor has kindly set me some tasks. He wants me to write a procedure for solving any tridiagonal system of equations. Here is his brief: Write a procedure to solve a given tridiagonal system of equations. Use lists to input the coefficients and do NOT use matrices and/or Maple arrays. The procedure can then be called at every time step. This will also be more involved. After a bit of research I know this is the starting matrix: b1x1 + c1x2 = d1 a2x1 + b2x2 + c2x3 = d2

Analytic Functions and matrices...

I am trying to find a easy way to use analytic functions with matrices. For example A:= 2x2 matrix (that is diagonalizable) then cos (A) = P L P^1 where P is the matrix made of the eigen vectors and L is the matrix of eigen values along the main diagonal. While I can work these problems by figuring the parts (P L P^1) I would prefer to find a way to be able to just write cos(A). I figure there is a syntax that I am failing to use properly to use this function with a matrix input. Any help would be appreciated.

Analytic Functions and matrices...

I am trying to find a easy way to use analytic functions with matrices. For example A:= 2x2 matrix (that is diagonalizable) then cos (A) = P L P^1 where P is the matrix made of the eigen vectors and L is the matrix of eigen values along the main diagonal. While I can work these problems by figuring the parts (P L P^1) I would prefer to find a way to be able to just write cos(A). I figure there is a syntax that I am failing to use properly to use this function with a matrix input. Any help would be appreciated.

maximum and minimum points...

hey i have the equation y=3X^4+2X^3-15X^2+13X+3 I need to find the (x,y) values of the maximum and minimum points to 3sf. im not too good with computers can anyone help me

matrix computation...

Dear Sir: I am still a novice to use the maple. Please give some advice for the following code. Expecially, I try to construct the final P(3x3) matrix. In the for-loop, normalized vectors are generated. Then, those are converted into a matrix. But, I do not know how to write a code. restart: with(LinearAlgebra): interface(displayprecision=4): mass:=Matrix([[m[1],0,0],[0,m[2],0],[0,0,m[3]]]); stif:=Matrix([[k[1]+k[2],-k[1],0],[-k[1],k[1]+k[2],-k[2]],[0,-k[2],k[2]]]); m[1],m[2],m[3],k[1],k[2],k[3]:=4,4,4,4,4,4; msri:=simplify(MatrixFunction(mass,sqrt(x),x)^(-1)); mass2:=msri.mass.msri; stif2:=msri.stif.msri;

simple alg; x=3/2 y-1/2...

x=3/2 y-1/2 Three over two times y minus one over two for the previous question.

Simple algebra problem...

This is surely the equivalent of using an elephant gun to go after an ant but in any case. Could someone tell me how to sub in four values for y, -2,0,1.5 and 3, one at a time in this equation: 3 1 x = - y - - 2 2 I am only using document mode but can not figure out how to automate this type of problem. I am able to manually sub in the value but I am too lazy to do all that work. Also is there any way to show the steps of the solution and not just pop out the answer?