 output.to from Sideway
Algebra

Matrices

Draft for Information Only

# Content

``` Matrices   Matrices   Square Matrix   Principal Diagonal   Trace   Vector   Zero Matrix  Equality of Matrices, ```

# Matrices

## Matrices

A matrix, designated by a bold capital letter, is a collection of elements enclosed in brackets in the form of rectangular array with horizontal rows and vertical columns. A matrix is usually denoted by a upper case letter and an element of matrix is often denoted by a lower case letter with double subscript notation The matrix A is of order m x n with m rows and n columns.

Row i of the matrix: ;

Column j of the matrix: Element is the matrix content at the intersection of row i and column j.

## Square Matrix

A matrix with the same number of rows as columns, m = n is called a square matrix of order n.

## Principal Diagonal

The elements where i = j forms the principal diagonal of a square matrix.

## Trace

The trace of a square matrix is the sum of the elements on the principal diagonal. ## Vector

For a single row matrix, of order 1 x n, it is called a row vector or row matrix.

For a single column matrix, of order m x 1, it is called a column vector or column matrix.

A vector is usually represented by a lower case letter, e.g. a

## Zero Matrix

If a matrix of any order consists all elements zero, it is called a zero matrix or null matrix, O.

## Equality of Matrices, Let and ,

if two matrices are of the same order, & and the corresponding elements are equal, , then two matrices are equal, ©sideway

ID: 100200007 Last Updated: 8/14/2010 Revision: 1 Home (5)

Business

Management

HBR (3)

Information

Recreation

Hobbies (7)

Culture

Chinese (1097)

English (336)

Reference (66)

Computer

Hardware (149)

Software

Application (187)

Digitization (24)

Numeric (19)

Programming

Web (644) CSS (SC)

ASP.NET (SC)

HTML

Knowledge Base

Common Color (SC)

Html 401 Special (SC)

OS (389) MS Windows

Windows10 (SC)

.NET Framework (SC)

DeskTop (7)

Knowledge

Mathematics

Formulas (8)

Number Theory (206)

Algebra (20)

Trigonometry (18)

Geometry (18)

Calculus (67)

Complex Analysis (21)

Engineering

Tables (8)

Mechanical

Mechanics (1)

Rigid Bodies

Statics (92)

Dynamics (37)

Fluid (5)

Control

Acoustics (19)

Biology (1)

Geography (1)

Latest Updated Links

Copyright © 2000-2019 Sideway . All rights reserved Disclaimers last modified on 10 Feb 2019