|[a+b,2a+b,3a+b],[2a+b,3a+b,4a+b],[4a+b,5a+b,6a+b]|

Without expanding,show that the value of each of the determinants is zero: det[[a+b,2a+b,3a+b2a+b,3a+b,4a+b4a+b,5a+b,6a+b]]

Without expanding show that following : |[a,a+b,a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b,10a+6b+3c]| = a^3

Without expanding the following determinant, show that : |[3a+b, 2a, a],[4a+3b, 3a, 3a],[5a+6b,4a,6a]|=a^3

Using properties of determinants, prove that |[a, a+b, a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b,10a+6b+3c]|=a^3

Show that: |[a, a+b ,a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b, 10 a+6b+3c]|=a^3 .

Consider abs[[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

Without expanding, show that the value of each of the determinants is zero: |a+b2a+b3a+b2a+b3a+b4a+b4a+b5a+b6a+b|

Which of the following has/have value equal to zero? |8 2 7 12 3 5 16 4 3| b. |1//a a^2b c1//bb^2a c1//cc^2a b| c. |a+b2a+b3a+b2a+b3a+b4a+b4a+b5a+b6a+b| d. |2 43 3 7 35 4 3 17 2|