Matrices of order 3xx3 are formed by usi...

Matrices of order `3xx3` are formed by using the elements of the set `A={-3,-2,-1,0,1,2,3}`, then probability that matrix is either symmetric or skew symmetric is

A

` (1)/( 7^(5))+ ( 1)/(7^(5))`

B

` (1)/( 7^(9))+( 1)/(7^(3))-(1)/(7^(6))`

C

` -(1)/( 7^(3))+(1)/( 7^(6))`

D

` (1)/( 7^(3))+(1)/( 7^(6)) -( 1)/( 7^(9))`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

Write a 2xx2 matrix which is both symmetric and skew-symmetric.

Express the matrix A={:[(2,-3,4),(-1,4,3),(1,-2,3)]:} as the sum of a symmetric and a skew symmetric matrix

Write a square matrix of order 2, which is both symmetric and skew symmetric.

Expess the matrix A=[{:(2,0,-4),(-3,1,5),(4,-2,3):}] as a sum of symmetic and skew symmetric matrices.

Express the matrix B=[[2,-2,-4],[-1, 3,4],[ 1,-2,-3]] as the sum of a symmetric and skew symmetric matrix.

Express the matrix A = [{:(4, 2,-1),(3,5,7),(1,-2,1):} ] as the sum of a symmetric and a skew-symmetric matrix.

Express the matrix B= [{:(,2,-2,),(,-1,3,):}] as the sum of a symmetric and a skew symmetric matrix.

If A is a non-singular symmetric matrix, write whether A^(-1) is symmetric or skew-symmetric.

Express the matrix A=[[2,4,-6],[ 7,3,5],[ 1,-2, 4]] as the sum of a symmetric and skew symmetric matrix.

Express the matrix A=[[4, 2,-1], [3 ,5, 7], [1,-2 ,1]] as the sum of a symmetric and a skew-symmetric matrix.