" Value of determinant "|[a-b,b-c,b-c],[b-c,c-a,a-b],[c-a,a-b,b-c]|

Evaluate the following determinants: [[a-b,b-c,c-a],[b-c,c-a,a-b],[c-a,a-b,b-c]]

The value of the determinant |[a-b,b+c,a],[b-c,c+a,b],[c-a,a+b,c]| is

Write the value of the following determinant |(a-b,b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c)|

The value of the determinant |[a-b,b+c, a], [b-a, c+a, b], [c-a, a+b, c]| is (a) a^3+b^3+c^3 (b) 3\ b c (c) a^3+b^3+c^3-3a b c (d) none

Write the value of the following determinant det[[b-b,b-c,c-ab-c,c-a,a-bc-a,a-b,b-c]]

What is the value of the determinant |(a-b,b+c,a),(b-c,c+a,b),(c-a,a+b,c)| ?

Without expanding the determinant prove the following. |[a-b,b-c,c-a],[b-c,c-a,a-b],[c-a,a-b,b-c]|=0

Using the property of determinants and without expanding, prove that: |[a-b,b-c,c-a],[ b-c,c-a ,a-b ],[c-a ,a-b,b-c]|=0

Using the property of determinants and without expanding , prove that: |[a-b,b-c,c-a],[b-c,c-a,a-b],[c-a,a-b,b-c]| = 0

What is the value of following determinant ? |(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c)|