Understanding Key Matrices: Identity, Symmetric, Idempotent & Null Matrices 📊

An identity matrix I is a square matrix which has 1 for every element on the principal diagonal
from left to right and O everywhere else. I Video it is explained with an example

The identity matrix is similar to the number 1 in algebra since
multiplication of a matrix by an identity matrix leaves the original matrix unchanged (that is
AI = IA = A).

Multiplication of an identity matrix by itself leaves the identity matrix unchanged:

SYMMETRIC MATRIX: Any matrix for which A = A' is a symmetric matrix.

IDEMPOTENT MATRIX:
A symmetric matrix for which
AXA =A is an idempotent matrix. The identity matrix is symmetric and idempotent.
NULL MATRIX:

A null matrix is composed of all zeros and can be of any dimension; it is not necessarily square.
Addition or subtraction of the null matrix leaves the original matrix unchanged;
multiplication by a
null matrix produces a null Matrix


You can Join
On Facebook
https://www.facebook.com/profile.php?id=100028159118237
Facebook page
https://www.facebook.com/ECONMATHSS/
On Telegram
https://t.me/Hilal885