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
<pre>
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|{{{matrix(3,3,b+c-a,a,a,b,c+a-b,b,c,c,a+b-c)}}}|
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</pre>