The number of diagonal matrix, `A` or order`n` which `A^3=A` is a. is a a. 1 b. 0 c. `2^n` d. `3^n`

The number of diagonals of a convex polygon of sides n is equal to (n(n-3))/(2) . Find the number of diagonals is hexagon.

If A be a diagonal matrix of order n(>2) then |A|=a_(11)xa_(22)x.........xa_(n)

If A is a matrix of order 3times3 then |KA|=K^(n)|A| where n is

If d is the determinant of a square matrix A of order n , then the determinant of its adjoint is d^n (b) d^(n-1) (c) d^(n+1) (d) d

If A is a diagonal matrix of order 'n 'such that A^(2)=A. then number of possible values of matrix A is

The number of possible outcomes in a throw of n ordinary dice in which at least one of the die shows and odd number is a.6^(n)-1 b.3^(n)-1 c.6^(n)-3^(n) d.none of these

For a non singular matrix A of order n the rank of A is (A) less than n (B) equal to n (C) greater than n (D) none of these

The smallest value of natural number n, for which 2n + 1 is not a prime number, is 3 (b) 4 (c) 5 (d) None of these

If D_1 and D_2 are diagonal matices of order 3xx3 then (A) D_1^n is a diagonal matrix (B) D_1D_2=D_2D_1 (C) D_1^2+D_2^2 is diagonal matrix (D) D_1D_2 is a diagonal matix

Let A be a set of n(>=3) distance elements. The number of triplets (x,y,z) of the A elements in which at least two coordinates is equal to a.^(n)P_(3) b.n^(3)-^(n)P_(3) c.3n^(2)-2n d.3n^(2)-(n-1)