Adjoint of Matrix Questions 4





In this page adjoint of matrix questions 4 we are going to see solution of question 4 based on the topic ad-joint of matrix.

Question 4

Find the ad-joint of the following matrix

 
1 1 -1
2 -3 4
3 -2 3
 


Solution:

minor of 1

=
-3 4
-2 3

   = [-9-(-8)]

   = (-9+8)

   = -1

Cofactor of 1

   =  + (-1)

   =    -1

minor of 1

=
2 4
3 3

   = [6-12]

   = (-6)

   = -6

Cofactor of 1

   =  - (-6)

   =    6

minor of -1

=
2 -3
3 -2

   = [-4-(-9)]

   = (-4+9)

   = 5

Cofactor of -1

   =  +(5)

   =    5

minor of 2

=
1 -1
-2 3

   = [3-2]

   = (1)

   = 1

Cofactor of 2

   =  - (1)

   =    -1

minor of -3

=
1 -1
3 3

   = [3-(-3)]

   = (3+3)

   = 6

Cofactor of -3

   =  + (6)

   =    6

minor of 4

=
1 1
3 -2

   = [-2-3]

   = (-5)

   = -5

Cofactor of 4

   =  - (-5)

   =    5

minor of 3

=
1 -1
-3 4

   = [4-3]

   = (1)

   = 1

Cofactor of 3

   =  +(1)

   =    1

minor of -2

=
1 -1
2 4

   = [4-(-2)]

   = (4+2)

   = 6

Cofactor of -2

   =  -(6)

   =    -6

minor of 3

=
1 1
2 -3

   = [-3-2]

   = (-5)

   = -5

Cofactor of 3

   =  +(-5)

   =    -5

adjoint of matrix questions 4  adjoint of matrix questions 4

co-factor matrix =

 
-1 6 5
-1 6 5
1 -6 -5
 

adjoint of matrix=

 
-1 -1 1
6 6 -6
5 5 -5
 







HTML Comment Box is loading comments...
Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

  1. Click on the HTML link code below.
  2. Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.












Recent Articles

  1. Representing a Decimal Number

    Apr 01, 23 11:43 AM

    representingdecimalnumbers1
    Representing a Decimal Number

    Read More

  2. Comparing Irrational Numbers Worksheet

    Mar 31, 23 10:41 AM

    tutoring.png
    Comparing Irrational Numbers Worksheet

    Read More

  3. Comparing Irrational Numbers

    Mar 31, 23 10:18 AM

    Comparing Irrational Numbers - Concept - Examples with step by step explanation

    Read More