`|{:(a+b,a+2b,a+3b),(a+2b,a+3b,a+4b),(a+4b,a+5b,a+6b):}|=`

The value of |{:(a,a+2b,a+4b),(a+2b,a+4b,a+6b),(a+4b,a+6b,a+8b):}| is

Without expanding the determinant, prove that |{:(a+b, 2a+b, 3a+b),(2a+b, 3a+b, 4a+b), (4a+b, 5a+b, 6a+b):}|=0.

|{:(a+b,2a+b,3a+b),(2a+b,3a+b,4a+b),(4a+b,5a+b,6a+b):}|=0

Select and write the correct answer from the given alternatives in each of the following: |(a,a+2b,a+4b),(a+2b,a+4b,a+6b),(a+4b,a+6b,a+8b)| =

Which of the following has value not equal to zero ? a) |(8,2,7),(12,3,5),(16,4,3)| b) |(1//a,a^(2),bc),(1//b,b^(2),ac),(1//c,c^(2),ab)| c) |(a+b,2a+b,3a+b),(2a+b,3a+b,4a+b),(4a+b,5a+b,6a+b)| d) |(2,43,6),(7,35,4),(3,17,2)|

Prove that |{:(a,a+b,a=b+c),(2a,3a+2b,4a+3b+2c),(3a,6a+3b,10a+6b+3c):}|=a^3

Evaluate : |{:(a,a+b,a+b+c),(2a,3a+2b,4a+3b+2c),(3a,6a+3b,10a+6b+3c):}|

Prove that |[a+b,a+2b,a+3b] , [a+3b,a+4b,a+5b] , [a+5b,a+6b,a+7b]|=0