Securing Higher Grades Costing Your Pocket? Book Your Assignment at The Lowest Price Now!


Math Assignment Help With Symmetric And Skew-Symmetric Matrix

3.5 Symmetric and Skew-Symmetric matrix

3.5.1 Symmetric matrix: A square matrix A = [aij] is said to be symmetric if its (i, j)th element is the same as its (j, i)th element.

i.e. A = AT

symmetric matrixSymmetric And Skew-Symmetric Matrix Assignment Help Order Now

A = AT

Therefore, A is symmetric matrix.

3.5.2 Skew symmetric matrix: A square matrix A = [aij] is said to be skew-symmetric if the (i, j)th element of A is the negative of the (j, i)th element of A

i.e. A T = -A

skew symmetric matrix

Therefore, AT = -A

Properties of Symmetric and skew-symmetric matrix

  1. i) A square matrix A is said to be skew-symmetric if A' = -A.
  2. ii) The diagonal elements of a skew-symmetric matrix are all zero.


properties of symmetric and skew symmetric matrix

iii) It may be checked that ½ (A +AT) is symmetric and ½ (A - AT) is skew-symmetric for every square matrix A. iv) A = (A +AT)/2 + (A - AT)/2

That is any square matrix can be expressed as the sum of a symmetric matrix and a skew-symmetric matrix.

v) A matrix which is both symmetric and skew symmetric is a zero matrix.

Email Based Homework Help in Symmetric And Skew-Symmetric Matrix

To Schedule a Symmetric And Skew-Symmetric Matrix tutoring session Live chat
To submit Symmetric And Skew-Symmetric Matrix assignment click here.

Following are some of the topics in Matrices And Determinants in which we provide help:

Geometry Help | Calculus Help | Math Tutors | Algebra Tutor | Tutorial Algebra | Algebra Learn | Math Tutorial | Algebra Tutoring | Calculus Tutor | Precalculus Help | Geometry Tutor | Maths Tutor | Geometry Homework Help | Homework Tutor | Mathematics Tutor | Calculus Tutoring | Online Algebra Tutor | Geometry Tutoring | Online Algebra Tutoring | Algebra Tutors | Math Homework Helper | Calculus Homework Help | Online Tutoring | Calculus Tutors | Homework Tutoring

Assignment Help Features
Assignment Help Services
  • Assignment Help
  • Homework Help
  • Writing Help
  • Academic Writing Assistance
  • Editing Services
  • Plagiarism Checker Online
  • Proofreading
  • Research Writing Help
QR Code Assignment Help