Recent content by Try hard

In this question I let "x1t , x2t, x3t " be the conjugate of x1, x2, x3 The hermitian form Hc(x) = c*x1t*x1 + 2*x2t*x2 - i*x1t*x2 + i*x2t*x1 + x1t*x3 + x3t*x1 +i*x2t*x3 - i*x3t*x2 (sorry, it`s a bit messy) For which value of c is Hc ositive definite? I have tried to find the...

thanks matt, time to review my maths notes :redface:

:bugeye: :bugeye: :bugeye: Let V be a finite dimensional vector space, and P <- L(V, V) be a projection, i.e P = P^2 a. Show that I - P is also a projection, that I am P = Ker(I-P) and that V = the direct sum of I am P and Ker P b. Suppose that V is also an inner product space...

thanks for the hint on part a, the v in part b is the same as in part a

For an n*n matrix C=(cij) over R or C, we define v(C)=Max|cij| a.Show that if A is invertible, then B is invertible if v(A-B) is sufficiently small. b. Show that for any, not necessarily invertible, n*n matix A, there is a sequence Ak of invertible matrices with v(A - Ak) -> 0 .

Can anyone give me a relationship for the turbulent drag force on an object with a cross sectional area A and a speed v in a medium with density p please? Thanks

Let S and T be two spans of vectors, what's the general method to find a basis for the intersection of S and T (SnT)? Thanks

Can someone point towards some useful information for me about the frequency dependence (over the audio frequency range) on acoustic mirrors, acoustic waveguides/horns and interfenece and diffraction effects please? Thanks

How do i show that a group of symmetries of a regular quindecagon has order |G| = 30 ? And how do i describe the elements of G and classify them by their order? Thanks

Hi, my physics lecture gave us such a stupid and annoying question as follows: 1.Without looking up any data, estimate the amouint of rubber that is lost per kn from the four tires of a typical car. 2.For a busy street, how many cars pass per year Any idea?

A typical car with a dummy crashed into a wall, what is a suitable parameter for the head of the crash test dummy(with and without restraints) as a function of time? and how do i estimate the forces acting on the head in the two situations? Thanks a lot :confused:

Inside an uncharged, perfect conducting hollow sphere of thickness t and radius R, a point charge Q is placed at a distance D from the centre, where D<R - t. Need to derive a simple expression for the field outside the sphere. In a section passing through Q, sketch qualitatively the charge...