# GATE Papers >> CSE >> 2015 >> Question No 33

Question No. 33

In the LU decomposition of the matrix $\left[\begin{array}{cc}2& 2\\ 4& 9\end{array}\right]$,if the diagonal elements of $U$ are both 1, then the lower diagonal entry $l_{22}$ of $L$ is ______.

Solution of Question No 33 of GATE 2015 CSE Paper

$\begin{bmatrix}L_{11}&0\\L_{21}&L_{22}\end{bmatrix}\begin{bmatrix}1&U_{12}\\0&1\end{bmatrix}=\begin{bmatrix}2&2\\4&9\end{bmatrix}$

This is crout's LU decomposition, since diagonal elements of U are 1. So we will setup the equations for the elements of the matrix taken column-wise, as follows

$\begin{array}{l}\;\;\;\;\;L_{11}=2,\;L_{21}=4\\\;\;\;\;\;\;\;\;\;\;L_{11}\times U_{12}=2\\\Rightarrow\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;U_{12}=1,\\L_{21}\times U_{12}+L_{22}=9\\\Rightarrow\;\;\;\;\;\;\;\;4+{\mathrm L}_{22}=9\\\Rightarrow\;\;\;\;\;\;\;\;\;\;\;\;\;\;L_{22}=5\end{array}$

KUghTR http://pills2sale.com/ levitra nizagara

Posted on  18/10/2020 21:18:51  by  dobsonz

Posted on  01/11/2020 20:18:13  by  johnanx
7anrkr https://writemyessayforme.web.fc2.com/

Posted on  13/12/2020 04:32:31  by  dobson

Posted on  09/01/2021 08:57:28  by  dobson

Posted on  09/01/2021 11:23:05  by  dobson
RZrO72 http://nexus.cct.lsu.edu:8000/nexus_uis/930

Posted on  17/01/2021 10:16:08  by  johnanz
zuUyxL https://beeg.x.fc2.com/

Posted on  26/01/2021 13:47:33  by  markus

Posted on  27/01/2021 14:35:26  by  markus
write my essays writemypaper.online

Posted on  22/07/2021 22:18:02  by  johnansog
I'm sorry, I didn't catch your name http://porntubereview.online al4a Meanwhile Sony only confirmed that the PS4 will be arriving “this holiday season”. The console will cost £349 and will track both the controller in a gamer's hand and their face.

Posted on  11/08/2021 19:44:59  by  Mckinley
Good crew it's cool :) http://xnxxlist.online ghettotube Amazon cut prices up to 30 percent, and quickly matched any price movement at Diapers.com. Revenue growth at the startup began to stall and venture capitalists became reluctant to pump new money into the company that was clearly in Amazon’s sights.

Posted on  11/08/2021 19:45:00  by  Barney
What do you do for a living? http://porntuberating.online 9taxi Last weekend, about a dozen teams vied for their recipe to be named the best. A small but spirited crowd, numbering in the hundreds, slurped cold beer and ârakija,â a homemade fruit brandy, as chefs and their helpers spiced gonads stewing in cauldrons.

Posted on  11/08/2021 19:45:01  by  Bernard
I'd like to open a business account http://porntuberating.online zorras In Mogadhalupadu, a fishing village in Andhra Pradesh, where some people had refused to leave their boats and nets, the damage was less than feared. Seawater surged into huts made from coconut palms near the beach.

Posted on  11/08/2021 19:45:02  by  Brian
What line of work are you in? http://porntubereview.online voyeurweb Under the deal, the China Nuclear Power Group and China National Nuclear Corporation will investing in the scheme. However Bob Stewart, a back-bench Tory MP, said: “I am really concerned. We are in a benign environment at the moment but say things turn out quite differently, we could be running risks with our infrastructure”.

Posted on  11/08/2021 19:45:03  by  Hilton

Posted on  03/12/2020 23:35:14  by  dobson

Posted on  04/12/2020 01:17:00  by  dobson
ZSYFQX http://waldorfdollshop.us/ waldorf doll

Posted on  09/01/2021 13:10:54  by  johnanz
AhcS7r https://beeg.x.fc2.com/

Posted on  26/01/2021 16:34:24  by  markus

Posted on  27/01/2021 14:04:11  by  markus
Ej9j5J https://writemyessayforme.web.fc2.com/#writemyessay

Posted on  15/12/2020 05:31:53  by  dobson
HMl5FZ http://waldorfdollshop.us/ waldorf doll

Posted on  09/01/2021 15:41:42  by  johnanz
https://xvideoss.web.fc2.com/

Posted on  03/08/2021 14:41:59  by  johnanz
https://beeg.x.fc2.com/sitemap3.html

Posted on  05/08/2021 22:16:08  by  markus
qySuAk http://pills2sale.com/ levitra nizagara

Posted on  18/10/2020 18:23:48  by  dobsonz
Vx1Czl http://xnxx.in.net/ xnxx videos

Posted on  12/12/2020 20:56:24  by  johnan
pC513f http://xnxx.in.net/ xnxx videos

Posted on  13/12/2020 00:34:48  by  johnan
rbekVS https://writemyessayforme.web.fc2.com/

Posted on  13/12/2020 06:08:33  by  dobson
DZHw6n https://writemyessayforme.web.fc2.com/#writemyessay

Posted on  15/12/2020 07:08:44  by  dobson
CyOjxq https://xnxxx.web.fc2.com/ xnxx

Posted on  29/06/2021 10:37:09  by  Merziuziy
https://beeg.x.fc2.com/sitemap1.html https://beeg.x.fc2.com/sitemap2.html https://xnxxx.web.fc2.com/sitemap1.html https://xnxxx.web.fc2.com/sitemap2.html https://xvideoss.web.fc2.com/sitemap1.html https://xvideoss.web.fc2.com/sitemap2.html

Posted on  03/08/2021 14:33:44  by  johnanz