Home
Class 12
MATHS
Let {D(1),D(2),D(3),cdots, D(n)} be the ...

Let `{D_(1),D_(2),D_(3),cdots, D_(n)}` be the set of third order determinants that can be made with the distinct non-zero real numbers `a_(1),a_(2), cdots,a_(9).` Then ,

A

`sum_(i=1)^(n)D_(i)=1`

B

`sum_(i=1)^(n)D_(i)=0`

C

`D_(i)=D_(j),foralli,j`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the relation between acceleration of blocks a_(1), a_(2) and a_(3) .

Statement 1 The sum of the products of numbers pm a_(1),pma_(2),pma_(3),"....."pma_(n) taken two at a time is -sum_(i=1)^(n)a_(i)^(2) . Statement 2 The sum of products of numbers a_(1),a_(2),a_(3),"....."a_(n) taken two at a time is denoted by sum_(1le iltjlen)suma_(i)a_(j) .

Write the first five terms of each of the sequences and obtain the corresponding series: a_(1) =a_(2) =2 , a_(n) =a_(n-1) -1, n gt 2

Write the first five terms of the sequences in obtain the corresponding series: a_(1)= a_(2)= 1, a_(n)= a_(n-1) + a_(n-2), n gt 2

Write the first five terms of the sequences in obtain the corresponding series: a_(1)= 2, a_(n)= a_(n-1) + 3, AA n ge 2

If a_(1), a_(2), a_(3).,,,,,,,,a_(n) are in A.P and their common difference is d. The value of the series sin d_(1) [sec a_(1).sec a_(2) + sec a_(2).sec a_(3)+ ….+ sec a_(n-1).sec a_(n)] is……..

a and b are non zero real numbers and n inN then a_(n) = a+bn represent arithmetic sequence.

If a_(1),a_(2),a_(3)(a_(1)gt0) are three successive terms of a GP with common ratio r, the value of r for which a_(3)gt4a_(2)-3a_(1) holds is given by

Let A = [a_(ij)] " be a " 3 xx3 matrix and let A_(1) denote the matrix of the cofactors of elements of matrix A and A_(2) be the matrix of cofactors of elements of matrix A_(1) and so on. If A_(n) denote the matrix of cofactors of elements of matrix A_(n -1) , then |A_(n)| equals