Write the value of the following determinant: `|a-bb-cc-a b-cc-a a-b c-a a-bb-c|`

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)|

Write the value of the determinant |[a,1,b+c], [b,1,c+a] ,[c,1,a+b]| .

What is the value of the following determinant? Delta=|[4,a, b+c],[4,b, c+a],[4,c, a+b]|

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

Without expanding, show that the value of each of the following determinants is zero: |1//a , a^2b c1//bb^2a c1//cc^2a b| (ii) |a+b2a+b3a+b2a+b3a+b4a+b4a+b5a+b6a+b| (iii) |1a a^2 1bb^2 1cc^2\ \ \ -b c-a c-a b|

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

The value of the determinant |-a b c a-b c a b-c| is equal to- 0 b. (a-b)(b-c)(c-a) c. (a+b)(b+c)(c+a) d. 4a b c

If a,b,c are unequal then what is the condition that the value of the following determinant is zero Delta =|(a,a^2,a^3+1),(b,b^2,b^3+1),(c,c^2,c^3+1)|

If a, b, c are positive and unequal, show that value of the determinant Delta=|a b c b c a c a b| is negative.

Find the value of the determinant |{:(a^2,a b, a c),( a b,b^2,b c), (a c, b c,c^2):}|