Linked Questions

11
votes
2answers
2k views

Expressing the n-th power of a matrix [duplicate]

My matrix is $\qquad A= \begin{pmatrix} {1} & {2} & {3}\\ {4} & {1} & {0}\\ {0} & {5} & {4} \end{pmatrix} $ I need $\qquad A^n$ I tried ...
2
votes
1answer
2k views

Why is EigenValues returning Root expressions? [duplicate]

This is the code I have: ...
4
votes
1answer
4k views

What do the hashtags represent in the result of Solve, and how should I use them? [duplicate]

There is a function that I'm trying to get the inverse of. My function is a simple polynomial: Tn[T_] := 4/9 T^3/Tc^2 + 5/9 T Now I tried to find ...
0
votes
2answers
1k views

How to exract the roots from “Roots”? [duplicate]

Given how the output looks like, as in a set of "==" assignments, is it possible to extract specific roots from the output of, http://reference.wolfram.com/language/ref/Roots.html ? And then do a ...
0
votes
1answer
929 views

what do those signs #1, #1^2, #1^3, & mean here? [duplicate]

I have read common pitfalls page and the documentation page but I still don't understand what do those signs mean here? ...
0
votes
2answers
553 views

Why does my Solve output contain this symbol? [duplicate]

I have a pair of coupled polynomial equations that I need to solve, so I tried using Mathematica's solve tool. This is the code that I wrote: ...
0
votes
3answers
525 views

Problems with finding the real solutions of equation [duplicate]

I am trying to find real solutions of equation using Mathematica 8.0 but there is some problem I don't know how to explain. For example, for the input ...
0
votes
1answer
368 views

Eigenvalues for a $ 4 \times 4 $ matrix [duplicate]

In Mathematica, I computed the following: ...
0
votes
0answers
326 views

How do I interpret the Roots syntax when I am finding the eigenvalues of a matrix [duplicate]

Here is an example of my problem: I am somewhat confused by the syntax of this. I am guessing that the #1 is specifying the start of another root? Why then does one of the roots = u + with nothing ...
1
vote
2answers
194 views

Roots of an equation output [duplicate]

I'm trying get the critical points of the function $f(x)=(( 1 - 3*(x + 1)^3)/(x^4 + 1))*(x - 2)$ so I took the derivative which is $(16 + 18 x - 9 x^2 - 28 x^3 - 48 x^4 - 18 x^5 + 3 x^6)/(1 + x^4)^2$ ...
0
votes
1answer
247 views

How to get rid of # in answer (eigensystem)? [duplicate]

I was trying to find the eigensystem of the following matrix (act as if the second character is in subscript): \begin{pmatrix} 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \\ \frac{-\...
3
votes
1answer
90 views

Help me with understanding root objects [duplicate]

I solved an polynomial equation of degree 20 and got root objects as solutions. I cannot understand how to match such output to any standard analytic form. After studying ...
0
votes
1answer
300 views

Finding eigenvectors with given set of eigenvalues [duplicate]

I have a matrix whose eigenvalues I was trying calculate. Mathematica miserably failed in calculating the eigenvalues. So, I calculated them manually. But can I use it to find eigenvalues, atleast. ...
1
vote
1answer
100 views

Mathematica not giving exact answer for Solve [duplicate]

I'm trying to find the maximum value of d[x_]:=4-(1/5)x^2-3*Cos[Pi*x/6] For -5 < x < 5. Aside from x=0 which is a local minimum, when I use Solve, I can ...
0
votes
0answers
190 views

Mathematica returns different results when requested by Reduce, Solve [duplicate]

When I request with Reduce, Mathematica returns: ...

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