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Matrices Types, Properties:Row, Column, Zero or Null, Singleton, Horizontal, Vertical, Square, Diagonal, Scalar, Unit or Identity Matrix, Equal Matrices, Triangular, Singular & Non-Singular Matrix, Symmetric & Skew Symmetric Matrices, Hermitian & Skew-Hermitian Matrices, Idempotent, Nilpotent, Periodic, Involutory Matrix

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Symmetric & Skew Symmetric Matrix-Properties, Solved Examples, Class 12 Matrices Chapter Notes Study Material Download pdf

A symmetric matrix 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. If A is a symmetric matrix, then A = A T   and if A is a skew-symmetric matrix then A T  = – A. Table of Contents Symmetric Matrix Properties of Symmetric Matrix Skew Symmetric Matrix Properties of Skew Symmetric Matrix Determinant of Skew Symmetric Matrix Eigenvalue of Skew Symmetric Matrix Frequently Asked Questions-FAQs What is a symmetric matrix? How do you know if a matrix is symmetric? Give an Example of a Matrix Which is Symmetric but not Invertible. Is Symmetric Matrix Diagonalizable? What is skew-symmetric matrix? What is the difference between symmetric and skew-symmetric matrix? Symmetric Matrix To understand if a matrix is a symmetric matrix, it is very important to know about transpose of a matrix and how to find it. If we in...
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