Identity Matrix

What is an identity matrix?

An identity matrix is also called a unit matrix. An identity matrix is a square matrix in which:

  • all the elements of the diagonal between the top left corner and the bottom right hand corner are ones and
  • all the other elements are zeros.
Identify Matrices

Below are example of identity matrices.

Unit Matrix, Identity Matrix

Property of the identity matrix

The identity matrix is very useful because of the following property which you can assume for all identity matrices. If I represents the identity matrix and A is any other matrix, then:

Identity Matrix property

Example of calculation with the identity or unit matrix

Identity matrix calculation

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