1
vote
0answers
65 views

Solving the General Equilibrium with $4$ equations and $4$ unknowns

I have to solve four equations to solve the equlilibrium prices for the two countries: $\frac{2p_1}{w_1} + \frac{p_1}{w_2}= \frac{48w_1^2 + 4p_1^2+p_2^2}{8p_1w_1}+ ...
1
vote
1answer
143 views

How to find null space of a matrix over $\mathbb{GF}(2)$?

How to find null space of a matrix over $\mathbb{GF}(2)$ ? Are there any algorithms available? I am not sure here is appropriate to ask this or not: Is there any routines for MATLAB or Maple?
0
votes
1answer
85 views

Solving Poisson Equation Finite-difference using maple

How do I solving Poisson Equation Finite-difference using maple consider Poisson equation $$\frac{\partial^2u}{\partial x^2} (x,y)+ \frac{\partial^2u}{\partial y^2} (x,y) = x*e^y$$ $0<x<2$ ...
2
votes
4answers
80 views

How can we know the range of linear map?

If we have a linear map A, that is Ax=y, then certainly that A has a domain and range, so my question is: how can we know what the domain and the range of the linear map A are? and, How can we find ...
4
votes
3answers
296 views

How to compute Nullspace on maple?

I have the matrix $$A := \begin{bmatrix}6& 9& 15\\-5& -10& -21\\ 2& 5& 11\end{bmatrix}.$$ Can anyone please tell me how to both find the eigenspaces by hand and also by using ...
0
votes
1answer
54 views

Determine the matrix in a certain base

I have to determine the $Matrix F$ which describes f in comparison to the base A(a1,a2,a3,a4), and the matrix B - which describes regarding the basis E=(e1,e2,e3,e4) for $R^4$ That is $F =a[f]a$ ...
2
votes
1answer
408 views

Is the vector in the span?

I have to show that $a_4$ is in the span of the other 3 vectors $a_1,a_2,a_3$ \begin{bmatrix} 2 &1 & 3\\ 3 & -1 & 4 \\ 1 & 2 & -1 \\ 4 & 4 & 3 \\ ...
3
votes
1answer
217 views

How does Matlab or computer algebra systems find derivatives of functions?

Is it correct that they use a matrix transformation?
-2
votes
2answers
743 views

Solving linear equation using maple

Use Maple to find the general solution to the following system of linear equations: $$\begin{eqnarray} 2x1 + x2 - x3 + 3x4 = 2\\ x1 + 2x2 - x4 = -1\\ 3x1 + 2x2 - 2x3 + x4 = 1\\ ...
0
votes
1answer
122 views

Maple loses some solutions

Probably off topic, but still. I'm trying to solve equation of the form $P^2 = \mathrm{id}$, where $P$ is a matrix with some unknown coefficients. The problem is, Maple looses some solutions, in ...