Question

If A is a Square matrix then show that A.AT is a symmetric matrix​

Answer 1

Let A be a square matrix, then prove that A−ATis a skew symmetric matrix. ... So, a symmetric and skew symmetric matrix both are square matrices. But the difference between them is, the symmetric matrix is equal to its transpose whereas skew symmetric matrix is a matrix whose transpose is equal to its negative.

Answer 2

Answer:

: Let A be a square matrix, then prove that A−ATis a skew symmetric matrix. ... So, a symmetric and skew symmetric matrix both are square matrices. But the difference between them is, the symmetric matrix is equal to its transpose whereas skew symmetric matrix is a matrix whose transpose is equal to its negative.