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1. ### For any 1<= k <=n, find a Jordan form for linear map T:Pn(F)->Pn(F): T(p(z)) = p^ k (z), kth derivative of p(z)

...block if n is not congruent to −1 modulo p. For 2 ≤ k ≤ p, d^ k /dz^ k will have Jordan blocks given by decomposing these blocks as above...

1 Answers · Science & Mathematics · 03/05/2008

2. ### Do you need Jordan 's lemma in this example?

Consider ∫c e^(isz) dz/(z^2 + k ^2), where C is a semicircular contour in the upper...z = 0) with radius R > 0 sufficiently large (we use Jordan 's Lemma to show that the integral on the circular...

1 Answers · Science & Mathematics · 04/12/2013

3. ### Let {u_ k } be a convergent sequence in R^n...?

... the box can be chosen with arbitrarily small Jordan content, the Jordan content of {u_ k | k in the natural numbers} must be 0.

1 Answers · Science & Mathematics · 26/04/2012

4. ### How do you prove that every Jordan block is similar to its transpose?

Let J(n, k ) denote the nxn Jordan block having the single eigenvalue k . (So J..._n^(-1) = S_n and that S_n J(n, k ) S_n = J(n, k )^T. So, this ...

1 Answers · Science & Mathematics · 08/08/2013

5. ### Find the value of ' k ' so that (x-3) is a factor of?

Using synthetic division 3.|.1..- k .......7.......-12 ....1..3- k ..16-3k...36 - 3k 36 - 3k = 0, so k = 12

4 Answers · Science & Mathematics · 03/04/2012

6. ### Show that the set has Jordan content 0?

...2^( k +1)). J_ k covers 1/ k and |J_ k | = ε/2^ k . So the sum |J_1| + |J_2| + |J_3| + ... ... we can choose ε to be arbitrarily small, the set must have Jordan content 0.

1 Answers · Science & Mathematics · 25/11/2013

7. ### Jordan content 0 for an ellipsoid...?

...epsilon;. Perhaps ∪[j/n,(j+1)/n)x[ k /n,( k +1)/n)x[ k /n,( k +1)/n) for k =0 to n and j=0 to n, which has Jordan content: (n+1)²/n³ which is less than ε for every n greater...

1 Answers · Science & Mathematics · 05/12/2013

8. ### Determine the value of k such that the following system of linear equations has infinitely many solutions?

...bottom equation is just double the first equation. 2 7 7 |4 4 14 14| k divide the second formula by two and you will have 2 7 7 |4 2 7 7 |( k /2...

2 Answers · Science & Mathematics · 16/03/2011

9. ### liner algebra,an n*n matrix A is called (2k+1)-diagonal for k <=n-1 ,?

To obtain the solution using Gauss- Jordan algorithm, it requires O(n^3) operations. You're...

2 Answers · Science & Mathematics · 07/01/2009

10. ### Need direction on Guass- Jordan ?

...the 3rd...to get new 2nd : -14 z + 11 w = -14 and new 3rd : 7 z + ( k -6) w = 7...multiply new 2nd by [1/2] and add to new 3rd to get ( k - 6...

1 Answers · Science & Mathematics · 11/03/2008