" 4.zuld "s21:|[a,a+b,a+b+c],[3a,4a+3b,5a+4b+3c],[6a,9a+6b,11a+9b+6c]|=-a^(3)

|[a, a+2b, a+2b+3c], [3a, 4a+6b, 5a+7b+9c], [6a, 9a+12b, 11a+15b+18c]|=?

Suppose a,b,c epsilon R and Delta=|(a,a+b,a+b+c),(3a,4a+3b,5a+4b+3c),(6a,9a+6b,11a+9b+6c)| If Delta=11.728 then a=______

Let Delta=|(a,a+b,a+b+c),(3a,4a+3b,5a+4b+3c),(6a,9a+6b,11a+9b+6c)| where a=i, b=omega,c = omega^2 , then Delta is equal to

If a=i,b=omega and C=omega^(2), then the value of determinant det[[a,a+b,a+b+c3a,4a+3b,5a+4b+3c6a,9a+6b,11a+9a+6c]]

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

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

Consider abs[[a,a+b,a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b,10a+6b+3c]]

If alpha=omega,b=omega^2,c=i , then the value of : |(a,a+2b,a+2b+3c),(3a,4a+6b,5a+7b+9c),(6a,9a+12b,11a+15b+18c)| is :