SOLUTION: How Do I Can show that,if A is a square matrix of order n,then A+A^T is Symmetric matrix?

SOLUTION: How Do I Can show that,if A is a square matrix of order n,then A+A^T is Symmetric matrix?

Algebra.Com

Question 1028698: How Do I Can show that,if A is a square matrix of order n,then A+A^T is Symmetric matrix?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Should be easy if you know the properties of transposition. A square matrix A is symmetric f .
Now ,
and therefore the matrix itself is symmetric.

RELATED QUESTIONS
2. (a) Prove that the product of a matrix and its transpose is symmetric matrix (b)... (answered by lynnlo)

Let A be a n�n square matrix . A is a symmetric matrix if A equal to ……. (answered by richard1234)

Question: Matrix A is said to be skew symmetric if A^T = -A. Show that if a matrix is... (answered by robertb)

A square matrix A is called symmetric if A^t = A. If B is a square matrix, then B.B^t and (answered by jim_thompson5910)

if A is a square matrix of order 3 such that |adjA|=36 then what is value of... (answered by robertb)

Suppose A is a square matrix. Prove that there is a symmetric matrix B and a... (answered by ikleyn)

Suppose A is a square matrix. Prove that there is a symmetric matrix B and a... (answered by ikleyn)

Proof of a singular matrix: I need to show (in general) that either matrix A is... (answered by venugopalramana,robertb)

a square matrix A is said to be idempotent A^2=A (a)give an example of idempotent... (answered by Edwin McCravy)