If the matrix `A=((2,3),(4,5))`, then show that `A-A^(T)` is a skew-symmetric matrix.

If A=[[3,-4], [1,-1]] , show that A-A^T is a skew symmetric matrix.

If A=[[2, 3], [4, 5]] , prove that A-A^T is a skew-symmetric matrix.

for the matrix A=[{:(1,5),(6,7):}], verify that : (I) (A+A') is a symmetric matrix. (ii) (A-A') is a skew symmetric matrix.

If A=[[2,4],[5,6]] , show that (A-A^T) is a skew symmetric matrix, where A^T is the transpose of matrix A.

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

If A is a matrix of order n such that A^(T)A=I and X is any matric such that X=(A+I)^(-1) (A-I) , then show that X is skew symmetric matrix.

If A is a matrix of order n such that A^(T)A=I and X is any matric such that X=(A+I)^(-1) (A-I) , then show that X is skew symmetric matrix.

If A=[[3,4],[5,1]] , show that A-A^T is a skew symmetric matrix, where A^T denotes the transpose of matrix A

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

If A and B are matrices of the same order, then A B^T-B A^T is a (a) skew-symmetric matrix (b) null matrix (c) unit matrix (d) symmetric matrix