Recent content by foxofdesert

Thanks for your help. I set up the super mesh on the top since they share a current source, so I set up total of 3 mesh ( 1 supermesh, 2 mesh for each bottom circuit) and solved the problem. Thank you so much

Please check the attachment to see the problem.

Homework Statement Apply the mesh current method to find I0 Homework Equations Mesh current method The Attempt at a Solution On the left bottom square circuit, I set a mesh current, I1, and on the right bottom square circuit, I set a mesh current, I2. Then, I0=I1-I2. Since...

Here is my thought: you have m-terms of m^2. That is, m*m^2. Taking derivative, d\dm (m*m^2)=m^2+m*2m=3m^2. The problem with d/dm(m^2+m^2+m^2+...up to m term) is that m-term is also a function of m. So, technically, you need to differentiate the function (m-term)

solved.

Homework Statement Suppose f(z) = z^3 -27z + 15 Find R such that |f(z)|>|z| whenever |z|>R. Homework Equations The Attempt at a Solution Let f(z)=z, then I have z^3 -28z + 15 = 0 then, z=5, (-5+√(17))/2, (-5-√(17))/2. since 5 is the most further point, R=5. check my...

Is it that the problem is hard or my poor english skills? :( Anyways, I concluded that there can be only 8 intersections, and my prof said it is correct. I proved that there cannot be 10 intersections when the points are uniformly placed, and did some weird-looking proof of there cannot be 9...

Here is the geometrical idea and some explain. I drew a perpect pentagon first, then extended each line segments evenly, and drew a perpect circle. Then, I had thought that if I extend the line segeents even longer, then I could get 10 distinct intersect points. Then, however, the points...

Homework Statement then points are uniformly spaced on a circle. Each of the points is connected by a segment to exactly one of the other points for a total of five segments. Some pairs of the segments may intersect and some may not. What is the maximum possible number of distinct intersection...

oh, thanks!

Thanks for checking. Just quick checking tho, 'A matrix is symmetric if and only if the matrix is diagonalizable.' Is this a right statement? or 'orthogonally diagonalizable'

Homework Statement True/False The geometric multiplicity of an eigenvalue of a symmetric matrix necessarily equals to its algebric multiplicity. Homework Equations The Attempt at a Solution True. If a matrix is symmetric, then the matrix is diagonalizable. Since the matrix is...

oh... I cannot put spaces correctly :( everything here is 3x3 matrices.

Homework Statement Compute A17. 1 0 4 A=0 1 2 0 0 4 Homework Equations A=PDP-1 (D is a diagonal matrix) The Attempt at a Solution I got eigenvalues 1 and 4, and corresponding eigenspaces u1=[1,0,0]T , u2=[0,1,1]T and u3=[4/3, 2/3 ,1]T. So, I computed P=...

Thank you for your replies. I have never studied the jordan normal form (at least not in my class.) But it looks like it has some role in eigenvalue/vector subject. Time to dig in!