|
|
|
|
Code is changed on 22.07.2025, Now it also works for Complex Number.
For wrong or incomplete solution, please submit the feedback form.
So, I will try my best to improve it soon.
|
|
|
|
|
|
|
|
|
Solution
|
Solution provided by AtoZmath.com
|
|
|
|
value of determinant using properties of determinants calculator
|
 1. `[[8,-6,2],[-6,7,-4],[2,-4,3]]`
2. `[[6,-2,2],[-2,3,-1],[2,-1,3]]`
3. `[[3,2,4],[2,0,2],[4,2,3]]`
4. `[[1,1,1],[-1,-3,-3],[2,4,4]]`
5. `[[2,3],[4,10]]`
6. `[[5,1],[4,2]]`
|
Example1. Find value of determinant using properties of determinants ...
`[[201,210,220],[151,155,140],[50,55,80]]`Solution:| `A=` | | 201 | 210 | 220 | | | 151 | 155 | 140 | | | 50 | 55 | 80 | |
|
Now, `R_1=R_1 - R_2` | `=` | | 50 | 55 | 80 | | | 151 | 155 | 140 | | | 50 | 55 | 80 | |
|
Here `R_3=R_1`, So value of the determinant is 0 `=0` Method-2: Determinant by expanding cofactors| `|A|` | = | | `201` | `210` | `220` | | | `151` | `155` | `140` | | | `50` | `55` | `80` | |
|
`=201 xx (155 × 80 - 140 × 55) -210 xx (151 × 80 - 140 × 50) +220 xx (151 × 55 - 155 × 50)` `=201 xx (12400 -7700) -210 xx (12080 -7000) +220 xx (8305 -7750)` `=201 xx (4700) -210 xx (5080) +220 xx (555)` `= 944700 -1066800 +122100` `=0` |
|
|
|
|
|
