In python find matrix M
I have the matrix X
X=[5.8 3.0 3.7 1.9]
and need to create a matrix M that is 4x150 that has the the
values of matrix X inside it for every row
M=
5.8
3.0
3.7
1.9
5.8
3.0
3.7
1.9
5.8
3.0
3.7
1.9
5.8
3.0
3.7
1.9
5.8
3.0
3.7
ect
5.8
ect
ect
5.8
ect
5.8
1a.) find the eigenvalues of x"+(lambda)(x) = 0, x(0)=x'(pi)=0
1b.) Solve ut=((c)^2)u(xx) , u(0,x)= alpha * sin x, with the boundary condition u(t,0)=u(t,pi)=0
1c.) Solve ut = u(xx), u(0,x) = alpha * sin ((pi*x)/(L)), with the boundary condition u(t,0) = u(t,L) = 0.
(a) Find a 3×3 matrix A such that 0 is the only eigenvalue of A,
and the space of eigenvectors of 0 has dimension 1. (Hint: upper
triangular matrices are your friend!)
(b) Find the general solution to x' = Ax.
PLEASE SHOW YOUR WORK CLEARLY.
Consider the boundary value problem X ′′ +λX=0 , X ′ (0)=0 ,
X′(π)=0 . Find all real values of λ for which there is a
non-trivial solution of the problem and find the corresponding
solution.
Consider a system of N particles in an infinite
square well fro, x=0 to x=N*a.
find the ground state wave function and
ground state energy for
A. fermions.
B. bosons.