SOLUTION: |a b c d 1| |b c d a 1| |c d a b 1| =0 |d a b c 1| |b a d c 1|

Algebra.Com
Question 1044576: |a b c d 1|
|b c d a 1|
|c d a b 1| =0
|d a b c 1|
|b a d c 1|

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
.
Perform the following elementary column operations (ECO3) IN SUCCESSION (which don't change the value of the determinant):
,
,
.
What you get is the determinant
.
=,
since columns 4 and 5 have identical entries. (Note that a+b+c+d was factored ONCE only from the fourth column.)

RELATED QUESTIONS

(1/c+1/d) / (c/d-d/c) A)1/c-d B)1/c+d C)c+d... (answered by al_prac)
1. (A->B) v (C•D) 2.A... (answered by jim_thompson5910)
Solve for (a,b,c,d) a+b+c=0 b+c+d=1 a+c+d=2... (answered by ankor@dixie-net.com)
1. A -> (B -> C) 2. A -> B 3. ~ C ->(A V D) / C V... (answered by Edwin McCravy)
A/B=(C+D)/D (answered by Alan3354)
1. A > (B>D) 2. A> (C>F) / A> [(B>D) *... (answered by Edwin McCravy)
1. A ⊃ B 2. C ⊃ D 3. ~(D v B) // C ≡ A (answered by Edwin McCravy)
1. A -> (B • C) 2. ~[(B • D) • C] 3. D (answered by Edwin McCravy,jim_thompson5910)
A/b=c/d... (answered by checkley77,stanbon)