Question

If A is a square matrix then show that A.AT a Symmetric matrix​

Answer 1

Answer:

, a symmetric and skew symmetric matrix both are square matrices. ... If A is a symmetric matrix, then $A = {A^T}$and if A is a skew symmetric matrix then ${A^T} = - A$.

Step-by-step explanation:

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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.