Home
Class 12
MATHS
" if " x(i) =a(i) b(i) C(i), i= 1,2,3 ar...

`" if " x_(i) =a_(i) b_(i) C_(i), i= 1,2,3` are three- digit positive integer such that each `x_(i)` is a mulptiple of 19 then prove that det`{{:(a_(1),,a_(2),,a_(3)),(b_(1),,b_(2),,b_(3)),(c_(1),,c_(2),,c_(3)):}}` is divisible by 19.

Promotional Banner

Similar Questions

Explore conceptually related problems

If x_(i) = a_(i)b_(i)c_(i)= I = 1,2,3 are three - digit positive integers such that each x_(i) is a multiple of 19, then for some interger n, prove that |(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3))| is divisible by 19.

If x_i=a_i b_i c_i,i=1,2,3 are three-digit positive integer such that each x_1 is a multiple of 19, then for some integers n , prove that |[a_1,a_2,a_3],[b_1,b_2,b_3],[c_1,c_2,c_3]| is divisible by 19.

If x_i=a_i b_i c+i,i=1,,23 are three-digit positive integer such that each x_1 is a multiple of 19, then for some integers n , prove that |a_1a_2a_3b_1b_2b_3c_1c_2c_3| is divisible by 19.

If x_i=a_i b_i c+i,i=1,,23 are three-digit positive integer such that each x_1 is a multiple of 19, then for some integers n , prove that |a_1a_2a_3b_1b_2b_3c_1c_2c_3| is divisible by 19.

if Delta=det[[a_(1),b_(1),c_(1)a_(2),b_(2),c_(2)a_(3),b_(3),c_(3)]]

if quad /_=[[a_(1),b_(1),c_(1)a_(2),b_(2),c_(2)a_(3),b_(3),c_(3)]]

Given a_(i)^(2) + b_(i)^(2) + c_(i)^(2) = 1, i = 1, 2, 3 and a_(i) a_(j) + b_(i) b_(j) + c_(i) c_(j) = 0 (i !=j, i, j =1, 2, 3) , then the value of the determinant |(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3))| , is

Given a_(i)^(2) + b_(i)^(2) + c_(i)^(2) = 1, i = 1, 2, 3 and a_(i) a_(j) + b_(i) b_(j) + c_(i) c_(j) = 0 (i !=j, i, j =1, 2, 3) , then the value of the determinant |(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3))| , is

Let A= |(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3)c_(3))| then the cofactor of a_(31) is: