- #1
Vishalrox
- 20
- 0
1. The problem
Prove that
| (a+b-c) (-c+a-b) (a+b+c) |
| (a-c) (c-a) (b-a) | = (a+b-c)(-c+a-b)(a-c)
| (a-b) (a-c) (a+b) |
using properties of determinants without expanding a determinant
2. The attempt at a solution
I tried a lot of ways like with following steps C(3) -> C(3) + C(2) , R(1) -> R(1) + R(2) ,
R(1) -> R(1) + R(2) - R(3)...but i could get nothing...its not my homework sum...i am just a 7th grade maths enthusiast...i saw this sum somewhere...i tried to solve this but couldn't get...can anyone help me up to solve this...or atleast guide me...where C(1) means column 1 and R(1) means Row 1 and similar things to that
Prove that
| (a+b-c) (-c+a-b) (a+b+c) |
| (a-c) (c-a) (b-a) | = (a+b-c)(-c+a-b)(a-c)
| (a-b) (a-c) (a+b) |
using properties of determinants without expanding a determinant
2. The attempt at a solution
I tried a lot of ways like with following steps C(3) -> C(3) + C(2) , R(1) -> R(1) + R(2) ,
R(1) -> R(1) + R(2) - R(3)...but i could get nothing...its not my homework sum...i am just a 7th grade maths enthusiast...i saw this sum somewhere...i tried to solve this but couldn't get...can anyone help me up to solve this...or atleast guide me...where C(1) means column 1 and R(1) means Row 1 and similar things to that
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