yes, it is both symmetric as well as skew symmetric
A skew symmetric matrix is a square matrix which satisfy, Aij=-Aji or A=-At
#include<iostream.h>
They can be either. If they are roots of a real polynomial then purely imaginary would be symmetric and only real roots can be skew symmetric.
Let A be a matrix which is both symmetric and skew symmetric. so AT=A and AT= -A so A =- A that implies 2A =zero matrix that implies A is a zero matrix
In linear algebra, a skew-symmetric matrix is a square matrix .....'A'
I could be wrong but I do not believe that it is possible other than for the null matrix.
In a skew symmetric matrix of nxn we have n(n-1)/2 arbitrary elements. Number of arbitrary element is equal to the dimension. For proof, use the standard basis.Thus, the answer is 3x2/2=3 .
No, there cannot be any.
Symmetric Property of Congruence
In a symmetric binomial distribution, the probabilities of success and failure are equal, resulting in a symmetric shape of the distribution. In a skewed binomial distribution, the probabilities of success and failure are not equal, leading to an asymmetric shape where the distribution is stretched towards one side.
My knowledge limits to square matrices. The answer is yes, because 0 = -0