## What is Two’s Complement? A brief Guide

Introduction to Two’s Complements Two’s complement is a technique used in computer science to represent signed integers (positive and negative …

## Nilpotent Matrix – Definition, Properties and Example

Any square matrix [A] is said to be a Nilpotent matrix if it satisfies the condition [Ak] = 0 and [Ak-1] ≠ 0 for some positive integer value of k. Then the least value of such positive integer k is called the index (or degree) of nilpotency.

## Idempotent Matrix – Definition, Examples and its Properties

Mathematically we can define an Idempotent matrix as A square matrix [A] will be called an Idempotent matrix if and only if it satisfies the condition  A2 = A. Where A is n x n square matrix.

## Involutory matrix – Definition, Examples and its properties

An Involutory matrix is simply a square matrix that when multiplied itself will result in an identity matrix. In other words, mathematically we can define an involutory matrix as: If A is a square matrix then matrix A will be called an involutory matrix if and only if it satisfies the condition   A2 = I. Where I is n x n identity matrix.