Toppers Notes on Matrices

Below you will get an embedded PDF file of the topic “toppers notes on Matrices s for jee main & Advanced”, where you have the facility to read, download, or print the document at your convenience. You can take the help of these short notes for the preparation of All India engineering examinations like JEE Main & JEE Advanced. In fact, these notes are helpful to crack any entrance exam in which the mathematics up to 12th class is asked.

Table of Content

• Definition.
• Order of matrices.
• Equality of matrices.
• Types of matrices.
• Elementary transfrormations.
• Elementary operations.
• Trace of a matrix.
• Multiplication of matrices.
• Properties of matrix multiplication.
• Positive integer powers of matrices.
• Transpose of a matrix.
• Properties of the transpose.
• Symmetric matrix.
• Skew-symmetric matrix.
• Properties of symmetric and skew-symmetric matrices.
• Singular and non-singular matrix.
• Hermitian and skew-hermitian matrix.
• Orthogonal matrix.
• Idempotent matrix.
• Involutory matrix.
• Nilpotent matrix.
• Unitary matrix.
• Periodic matrix.
• Differentiation of a matrix.
• Conjugate of a matrix.
• Properties of the conjugate.
• Transpose conjugate of a matrix.
• Properties of transpose conjugate.
• Adjoint of a square matrix.