Home > Matrix Algebra calculators > Determinant of a matrix calculator

Solve any problem
(step by step solutions)
Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
Find det [[10,-9,-12],[7,-12,11],[-10,10,3]]

Solution:
Your problem `->` det [[10,-9,-12],[7,-12,11],[-10,10,3]]


`|A|` = 
 `10`  `-9`  `-12` 
 `7`  `-12`  `11` 
 `-10`  `10`  `3` 


 =
 `10` × 
 `-12`  `11` 
 `10`  `3` 
 `+9` × 
 `7`  `11` 
 `-10`  `3` 
 `-12` × 
 `7`  `-12` 
 `-10`  `10` 


`=10 xx (-12 × 3 - 11 × 10) +9 xx (7 × 3 - 11 × (-10)) -12 xx (7 × 10 - (-12) × (-10))`

`=10 xx (-36 -110) +9 xx (21 +110) -12 xx (70 -120)`

`=10 xx (-146) +9 xx (131) -12 xx (-50)`

`= -1460 +1179 +600`

`=319`







Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me
  
 

Share with your friends
 
Copyright © 2018. All rights reserved. Terms, Privacy