SOLUTION: Suppose A is a square matrix. Prove that there is a symmetric matrix B and a skew-symmetric matrix C such that A = B + C. In other words, any square matrix can be decomposed into a
Algebra.Com
Question 1164524: Suppose A is a square matrix. Prove that there is a symmetric matrix B and a skew-symmetric matrix C such that A = B + C. In other words, any square matrix can be decomposed into a symmetric matrix and a skew-symmetric matrix (Proof Technique DC).
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
d u p l i c a t e
Just solved, answered and explained under this link
https://www.algebra.com/algebra/college/linear/Linear_Algebra.faq.question.1164529.html
https://www.algebra.com/algebra/college/linear/Linear_Algebra.faq.question.1164529.html
RELATED QUESTIONS
Suppose A is a square matrix. Prove that there is a symmetric matrix B and a... (answered by ikleyn)
2. (a) Prove that the product of a matrix and its transpose is symmetric matrix
(b)... (answered by lynnlo)
Find matrix B, if A is symmetric matrix and B is skew symmetric matrix and their sum is... (answered by ikleyn)
give an example of a matrix which is normal but not symmetric ,skew symmetric or... (answered by Fombitz)
Question:
Matrix A is said to be skew symmetric if A^T = -A. Show that if a matrix is... (answered by robertb)
If A is skew-symmetric matrix,show that the elements in the main diagonal are all... (answered by robertb)
let W be an nx1 matrix such that W^T*W=1.The nxn matrix H=In-2WW^T is called a... (answered by rothauserc)
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)
Answer each of the following as True or False justifying your answers:
If S and K are... (answered by ikleyn)