[phpBB Debug] PHP Notice: in file /viewtopic.php on line 988: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone.
[phpBB Debug] PHP Notice: in file /viewtopic.php on line 988: getdate(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone.
[phpBB Debug] PHP Notice: in file /includes/functions.php on line 4509: Cannot modify header information - headers already sent by (output started at /includes/functions.php:3706)
[phpBB Debug] PHP Notice: in file /includes/functions.php on line 4511: Cannot modify header information - headers already sent by (output started at /includes/functions.php:3706)
[phpBB Debug] PHP Notice: in file /includes/functions.php on line 4512: Cannot modify header information - headers already sent by (output started at /includes/functions.php:3706)
[phpBB Debug] PHP Notice: in file /includes/functions.php on line 4513: Cannot modify header information - headers already sent by (output started at /includes/functions.php:3706)
using cofactor method find the determinant

using cofactor method find the determinant

All Linear Algebra and matrix questions here.

Moderator: ChangBroot

Forum rules
To type int use \`int\` and the same way to type sqrt simply type \`sqrt\` or Please view the examples forum.

As you type, live preview is displayed so you know exactly what are you typing.

using cofactor method find the determinant

Postby barnamah » Thu 19 May, 2011 16:08

find the determinant of

Code: Select all
B =

     0     8     0     1
     0     7     3    -1
     3     0     0     2
     0    -5     0     6

how can should I proceed?

Solution:

choose a column with most zeros. I'll choose column 1 with the values:
Image
`[[0],[0],[3],[0]]`

from this column we can use only 3 because the other values are 0. 3 is located at row 3 column 1 `(-1)^(r+c)=(-1)^(1+3)=+1` so the sign for 3 is +.
Now using the first column with 3, we assume column 1 and row 3 (row 3 which has the 3 in it) does not exist and write our matrix:
Image
`| [8, 0, 1],[ 7, 3, -1],[ 0, 0, 2],[ -5, 0, 6]|`
Explore and know. That is asked.
User avatar
barnamah
 
Posts: 102
Joined: Mon 14 March, 2011 08:37
Location: Canada

Return to Linear Algebra

Who is online

Users browsing this forum: No registered users and 1 guest

cron