SOLUTION: Hi, I am from Mumbai India. The problem is from " A New Approach to Mathematics & Statistics" It does not have a ISBN code. Prove without expanding, that the following two 3x3 de

Algebra ->  Matrices-and-determiminant -> SOLUTION: Hi, I am from Mumbai India. The problem is from " A New Approach to Mathematics & Statistics" It does not have a ISBN code. Prove without expanding, that the following two 3x3 de      Log On


   



Question 117998: Hi, I am from Mumbai India. The problem is from " A New Approach to Mathematics & Statistics" It does not have a ISBN code.
Prove without expanding, that the following two 3x3 determinants are equal.
First determinant
(b+c-a),a,a
b,(c+a-b),b
c,c,(a+b-c)
Second determinant
a,b,c
b,c,a
c,a,b

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, I am from Mumbai India. The problem is from " A New Approach to Mathematics & Statistics" It does not have a ISBN code.
Prove without expanding, that the following two 3x3 determinants are equal.
First determinant
(b+c-a),a,a
b,(c+a-b),b
c,c,(a+b-c)
Second determinant
a,b,c
b,c,a
c,a,b
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|matrix%283%2C3%2Cb%2Bc-a%2Ca%2Ca%2Cb%2Cc%2Ba-b%2Cb%2Cc%2Cc%2Ca%2Bb-c%29|
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