Recent content by debjit625

If anybody wants to know the answer http://math.stackexchange.com/questions/1883453/if-a-matrix-is-both-hermitian-and-unitary-show-all-its-eigen-values-are-±1

Well I am sorry I erase the template,will not happen again. But now the main thing so that means I have no idea ,now that states my problem very well. what you are taking about I have no idea I am in first year and we just started learning these.. I guess infinite but what I meant was that...

Homework Statement If a matrix is both Hermitian and unitary show all its eigen values are ±1 Have no idea how to solve ,Have an idea what's hermitian and unitary matrix I know eigen values of hermitian matrix are real and for a unitary matrix it on a unit circle . Thanks

That means I take y = i and x = 1. Thanks.

Homework Statement Find the eigen values and normalized eigen vectors for the matrix cosθ sinθ -sinθ cosθ 2. The attempt at a solution Well I did the eigen values hope they are correct but can't solve for eigen vectors Eigen values are λ = cosθ ± isinθ on solving for eigen vector for...

Thanks for the reply BvU. I used Maxwell's velocity distribution to compute average or mean speed Maxwell's velocity distribution dNc = 4πN(m/2πkT)3/2e-(mc2/2kT)c2dc From this I computed the average or mean speed c' = 1/N ( o ∫ ∞ cdNc) c' = √(8kT/πm) "Do you know the equation for the...

Homework Statement In computing the average kinetic energy of a molecule obeying Maxwellian distribution one use the formula ½mc2 .Calculate the percentage error incurred in the calculation. The Attempt at a Solution Here c is the average velocity of a molecule obeying Maxwellian distribution...

search for "The square of any determinant is a symmetric determinant." its determinant not determinate(I assume by determinate you mean just the real value).And all those thing you are saying I totally agree . I am 1st year student of physics honors,may be not a lot but I know a bit about linear...

No its a standard college text.there are more books which have this statement just Google the property u would find some .

Thanks fresh_42 and akeleti8 Guys I have the idea what u people are saying but have a look ,of the pic I uploaded its from the book Thanks

This property is given in my book. The square of any determinant is a symmetric determinant. Well it works when I take a determinant say 3x3 and multiply it by itself using row to row multiplication. But it fails if I multiply using row to column. Thanks

Homework Statement This is the question as it was given...no other data was given. Obtain Fourier's heat conduction equation in three dimensions in an infinite medium in steady state.What modifications will be required in case of a finite body? 2. The attempt at a solution Well I can derive 3D...

Hi all got a confusion In many books I saw , authors used a specific statement here is it a,b,c are vectors and axb is (" a cross b") In general (axb)xc ≠ ax(bxc) but if (axb)xc = ax(bxc) solving it we get bx(axc)=0 then it implies either b is parallel to (axc) or a and c are collinear...

@Zondrina I learned its a free choice i.e.. I can choose my positive and negative direction.. Yes it make sense that acceleration due to gravity is always downwards so that's its positive direction,but again mathematically I can choose it negative,if I see the motion in a Cartesian coordinate...

Hi everybody I got this from a book A stone is dropped from a height of 50 m and it falls freely. Calculate the velocity of the stone when it reaches the ground. Assuming g = - 9.8 ms2 ,negative as its going downwards . Using v2 = u2 + 2a(x - x0) v2 = 02 + 2(-9.8)(-50-0) I got...