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