Recent content by asif zaidi

Hi: I am evaluating the curve integral below and I am getting an answer of 0. I have looked at my solution many times and cannot see that I have done anything wrong. My concern is that a value of 0 for a curve integral does not make sense - a curve integral measures the distance from...

Excellent - thank you. It worked.

Hello: In Problem Solution part below, I am not sure of Step 2 and am having problems with Step 3. Thanks in advance Problem Statement: Let D = {(x1,x2)| x1,x2>0, 1<= x1^{2} - x2^{2} <=9, 2 <= x1x2 <= 4. Use hyperbolic coordinates g(u,v) = {u^{2} - v^{2}, uv} to show that...

By closure I have understood to mean the boundary point where the function values cannot be made arbitrarily close. It is at these points that I looked at the constant function 1 and showed the Jordan content to be 0. But I cannot find where the subsets are not integrable.

For irrational sets: the Jordan measure is 0. What I cannot tell is the boundary. That is my problem with the assignment also - I thought that for an integral to exist it had to be bounded. But the problem doesn't specify it. It says simply over the generalized interval. Does this mean...

Hello We are doing Jordan content/measure and I think I understand it but I seem to be having problem the following h/w assignment. Problem Statement: Let I be a generalized interval and let f be the constant function 1. Find a subset D of I such that f (restricted to region D) is not...

I am not typing the whole thing, so perhaps it is creating confusion - The goal is to find SVD of a matrix A. Once we do this it will be comprised of 3 different matrices, U, S, V - The text explains how to get S. It says compute A*A' and take the square root of the eigenvalues - To get u...

Hi: I am following the recipe from Linear Algebra with Applications (Steven J Leon) Basically the text says on pg 346 - V matrix is the eigenvector of A'A - U matrix is the eigenvector of AA' I agree with you that U could also be as you said... But why didn't my calculations come up with...

I did some problems from the example and the questions at end of chapter. I got all of them right except this one. Problem Statement: Consider the matrix [3 0; 0 -2]. Find its singular value decompositions Problem Solution Goal is to find A = U*S*V as below Step1: Find AA', A'A...

Hello: Problem1: The temp of the circular plate D= {(x1,x2) | x1^{2} + x2^{2} \leq 1} is given by T=2x^{2} -3y^{2} - 2x. Find hottest and coldest points of the plate. Problem 2 Show that for all (x1,x2,x3) \in R^{3} with x1>0, x2>0, x3>0 and x1x2x3 = 1, we have x1+x2+x3 \geq3...

Hello: I thought I had this but in doing the problem I realized I didn't (or maybe I didn't). One of the problems was that in class and notes all examples were done in terms of f(x,y). Obviously in h/w, the problem is given as f(x1,x2,x3) - just to confuse me ! Problem statement a- For...

Inverse of A = [a b; c d] => (1/ad-bc) [ d -b; -c a]Thanks Asif

When g is f's inverse, all I have to do is take inverse of f matrix evaluated at (1,1). This will give me the Jg(f(p)). Is this right? What I had missed was the Jf(p) Thanks Asif

Thanks... yes I think got the Jacobian part. However, what I am not getting is how do I get 'g'. BTW, I assume you are saying p=f(1,1)Thanks Asif

For Q2: For a chain rule, don't I need a matrix for g. How do I get this? Is this g matrix, the inverse of f evaluated at (2,4) <-- I get this from f(1,1) = (2,4) And multiply this by Df(1,1) Thanks Asif