If `A=[(n,0 ,0),( 0,n,0),( 0, 0,n)]` and `B=[(a_1,a_2,a_3),(b_1,b_2,b_3),(c_1,c_2,c_3)]` , then `A B` is equal to (A) `B` (B) `n B` (C) `B^n` (D) `A+B`

If {:A=[(n,0,0),(0,n,0),(0,0,n)]and B=[(a_1,a_2,a_3),(b_1,b_2,b_3),(c_1,c_2,c_3)]:} , then AB is equal to

If A=[[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]] and B=[[ c_1,c_2,c_2],[a_1,a_2,a_3],[b_1,b_2,b_3]] then

Let a_i^2+b_i^2+c_i^2=1 (for i=1,2,3) and a_ia_j+b_ib_j+c_ic_j=0 (i != j;i,j=1,2,3). Then the absolute value of determinant |(a_1,a_2,a_3),(b_1,b_2,b_3),(c_1,c_2,c_3)| (A) 1/2 (B) 0 (C) 1 (D) 2

If a_1x+b_1y+c_1z=0, a_2x+b_2y+c_2z=0, a_3x+b_3y+c_3z=0 and |(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3)|=0 , then the given system then

If 2^(n+4)-2^(n+2)=3, then n is equal to a.0 b.2c.-2d.-1

If a_1x+b_1y+c_1z=0, a_2x+b_2y+c_2z=0, a_3x+b_3y+c_3z=0 and |(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3)|=0 , then the given system has, 1) more than two solutions 2) one trivial and one non trivial solutions 3) no solution 4) only trivial solution (0, 0, 0)

|(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3)|=0 then the system of equations a_1x+b_1y+c_1z=0, a_2x+b_2y+c_2z=0, a_3x+b_3y+c_3z=0 has

Let A = [(1,0),(2,3)] and A^(n) = [(a, b),(c,d)] then lim_(n to oo) (b + c)/(a + d) =

Let A = [(1,0),(2,3)] and A^(n) = [(a, b),(c,d)] then lim_(n to oo) (b + c)/(a + d) =