We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies. Learn more   

AtoZmath.com
Support us
(New) All problem can be solved using search box
I want to sell my website www.AtoZmath.com with complete code
Home What's new College Algebra Games Feedback About us
Algebra Matrix & Vector Numerical Methods Statistical Methods Operation Research Word Problems Calculus Geometry Pre-Algebra


Home > Matrix & Vector calculators > Determinant of a matrix example
6. Matrix Determinant example ( Enter your problem )
( Enter your problem )
  1. Definition and Examples
  2. Example-2
 		Other related methods
  1. Addition of two matrix
  2. Multiplication of two matrix
  3. Division of two matrix
  4. Power of a matrix
  5. Transpose of a matrix
  6. Determinant of a matrix
  7. Adjoint of a matrix
  8. Inverse of a matrix
  9. Prove that any two matrix expression is equal or not
  10. Minor of a matrix
  11. Cofactor of a matrix
  12. Trace of a matrix
1. Definition and Examples
(Previous example)		7. Adjoint of a matrix
(Next method)

2. Example-2


1. Find `| A |` ...
`A=[[1,2],[4,5]]`

Solution:
`|A|` = 
 `1`  `2` 
 `4`  `5` 


`=1 × 5 - 2 × 4`

`=5 -8`

`=-3`
2. Find `| A |` ...
`A=[[1,2,3],[4,5,6],[7,8,9]]`

Solution:
`|A|` = 
 `1`  `2`  `3` 
 `4`  `5`  `6` 
 `7`  `8`  `9` 


 =
 `1` × 
 `5`  `6` 
 `8`  `9` 
 `-2` × 
 `4`  `6` 
 `7`  `9` 
 `+3` × 
 `4`  `5` 
 `7`  `8` 


`=1 xx (5 × 9 - 6 × 8) -2 xx (4 × 9 - 6 × 7) +3 xx (4 × 8 - 5 × 7)`

`=1 xx (45 -48) -2 xx (36 -42) +3 xx (32 -35)`

`=1 xx (-3) -2 xx (-6) +3 xx (-3)`

`= -3 +12 -9`

`=0`

This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here


1. Definition and Examples
(Previous example)		7. Adjoint of a matrix
(Next method)


Share this solution or page with your friends.


Home What's new College Algebra Games Feedback About us
 
Copyright © 2024. All rights reserved. Terms, Privacy
 
 

.