Evaluate: |(b+c,a,a),(b,c+a,b),(c,c,a+b)`

evaluate: |(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b)|

Evaluate the following : |{:(b+c,a,a),(b,c+a,b),(c,c,a+b):}|

The value of |(a-b,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

Prove that: |(a,a+c,a-b),(b-c,b,b+a),(c+b,c-a,c)|=(a+b+c)(a^(2)+b^(2)+c^(2))

Evaluate abs([a-b,b-c,c-a],[b-c,c-a,a-b],[c-a,a-b,b-c])

Find the value of k, if: |(a+b,b+c,c+a),(b+c,c+a,a+b),(c+a,a+b,b+c)|=k|(a,b,c),(b,c,a),(c,a,b)|

Prove that : |{:(a+b,b+c,c+a),(b+c,c+a,a+b),(c+a,a+b,b+c):}|=2|{:(a,b,c),(b,c,a),(c,a,b):}| .

Find the factor of determinant |(a, b+c, a^2), (b, c+a, b^2), (c, a+b, c^2)|.

R_(1)={(a,a),(a,b),(a,c),(b,b),(b,c),(c,a),(c,b),(c,c)} is defined on set A={a,b,c}. Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.