• About
  • Contact Us
  • Privacy Policy
  • Terms & Conditions
  • Disclaimer
Civilhex
  • Home
  • Civil Engineering
    • All
    • Foundation Engineering
    • Mathematics
    • Structural Engineering
    What is Civil Engineering

    Navigating the World of Civil Engineering: From Education to Mega Projects

    History of Concrete

    History of Concrete Timeline: Ancient World (6500 BC) to Modern Times

    solid-mechanics-case-study

    Solid Mechanics-Case Study Paper

    Beam Design Calculator

    Beam Design Calculator ACI 318-19 – Tension Reinforcement (Unknown Cross-Section)

    Beam-Design-Tension-Reinforcement-Unknown-Cross-Section-ACI-318-19

    Beam Design – Tension Reinforcement (Unknown Cross-Section) ACI 318-19

    Falling Head and Constant Head Method Permeability Test

    Falling Head and Constant Head Method Permeability Test

    Permeability

    Permeability Definition – Why is it Important in Civil Engineering?

    Mechanics-of-Solids-Question-Paper

    Mechanics of Solids-I – Term Paper & Answer Sheet

    Foundation Design rule-of-thumb checklist

    Foundation Design Rule-of-Thumb Checklist

    • Mathematics
  • Structural Engineering
  • Foundation Engineering
  • Construction
No Result
View All Result
  • Home
  • Civil Engineering
    • All
    • Foundation Engineering
    • Mathematics
    • Structural Engineering
    What is Civil Engineering

    Navigating the World of Civil Engineering: From Education to Mega Projects

    History of Concrete

    History of Concrete Timeline: Ancient World (6500 BC) to Modern Times

    solid-mechanics-case-study

    Solid Mechanics-Case Study Paper

    Beam Design Calculator

    Beam Design Calculator ACI 318-19 – Tension Reinforcement (Unknown Cross-Section)

    Beam-Design-Tension-Reinforcement-Unknown-Cross-Section-ACI-318-19

    Beam Design – Tension Reinforcement (Unknown Cross-Section) ACI 318-19

    Falling Head and Constant Head Method Permeability Test

    Falling Head and Constant Head Method Permeability Test

    Permeability

    Permeability Definition – Why is it Important in Civil Engineering?

    Mechanics-of-Solids-Question-Paper

    Mechanics of Solids-I – Term Paper & Answer Sheet

    Foundation Design rule-of-thumb checklist

    Foundation Design Rule-of-Thumb Checklist

    • Mathematics
  • Structural Engineering
  • Foundation Engineering
  • Construction
No Result
View All Result
Civilhex
No Result
View All Result
Home Civil Engineering Mathematics

Adding Matrices & Subtracting Matrices

Arjun Barman,CE by Arjun Barman,CE
July 12, 2023
in Mathematics
Reading Time: 3 mins read
0
Adding-Matrices-Subtracting-Matrices
0
SHARES
28
VIEWS
Share on FacebookShare on Twitter

Table of Contents

  • Adding Matrices & Subtracting Matrices
  • Adding Matrices
  • Subtracting Matrices
  • Question:
  • Answer Sheet:

Adding Matrices & Subtracting Matrices

Matrices are rectangular arrays of numbers, which can be used to represent linear transformations, data sets, and many other mathematical objects. In this article, we will discuss how to add and subtract matrices and provide some examples to illustrate the concepts.

Adding Matrices

To add two matrices, we simply add the corresponding entries of the matrices. For example, given two matrices A and B, we can add them by performing the following operation:

C = A + B = \begin{bmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{bmatrix} + \begin{bmatrix} b_{11} & b_{12} \\ b_{21} & b_{22} \end{bmatrix} =\begin{bmatrix} a_{11}+b_{11} & a_{12}+b_{12} \\ a_{21}+b_{21} & a_{22}+b_{22} \end{bmatrix}

Note: Mobile user use desktop mode for proper view!!

Note that in order to add two matrices, they must have the same size, i.e., they must have the same number of rows and columns. If the matrices do not have the same size, it is not possible to add them.

For example, consider the following two matrices:

A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} 
B = \begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix}

We can add these two matrices as follows:

C = A + B = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} + \begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix} = \begin{bmatrix} 1+5 & 2+6 \\ 3+7 & 4+8 \end{bmatrix} = \begin{bmatrix} 6 & 8 \\ 10 & 12 \end{bmatrix}

Subtracting Matrices

Subtracting matrices is similar to adding matrices, but we subtract the corresponding entries instead of adding them. For example, given two matrices A and B, we can subtract them by performing the following operation:

C = A - B = \begin{bmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{bmatrix} - \begin{bmatrix} b_{11} & b_{12} \\ b_{21} & b_{22} \end{bmatrix} = \begin{bmatrix} a_{11}-b_{11} & a_{12}-b_{12} \\ a_{21}-b_{21} & a_{22}-b_{22} \end{bmatrix}

As with addition, in order to subtract two matrices, they must have the same size.

For example, consider the following two matrices:

A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}
B = \begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix}

We can subtract these two matrices as follows:

C = A - B = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} - \begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix} = \begin{bmatrix} 1-5 & 2-6 \\ 3-7 & 4-8 \end{bmatrix} = \begin{bmatrix} -4 & -4 \\ -4 & -4 \end{bmatrix}

Question:

Adding matrices & Subtracting matrices

Answer Sheet:

Math-Assignment-week-1Download

More civil engineering math: Engineering Mechanics Case Study

Tags: math
ShareTweet
Arjun Barman,CE

Arjun Barman,CE

Meet Arjun Barman, a civil engineering enthusiast on a mission to become a structural engineering maestro. With an unwavering passion for the art of building, Arjun shares his expertise and love for civil engineering through his engaging writing. Join him on his exciting journey through the world of structures, as he simplifies the complexities and makes the wonders of civil engineering come to life, one article at a time. Direct contact: [email protected]

Related Posts

solid-mechanics-case-study
Mathematics

Solid Mechanics-Case Study Paper

July 11, 2023
Falling Head and Constant Head Method Permeability Test
Mathematics

Falling Head and Constant Head Method Permeability Test

July 12, 2023
Mechanics-of-Solids-Question-Paper
Mathematics

Mechanics of Solids-I – Term Paper & Answer Sheet

July 12, 2023

Discussion about this post

  • Trending
  • Comments
  • Latest
What is Rebar-Rebar Sizes, Grade, and Types

Learn All About Rebar-Rebar Sizes, Grades, and Types

July 16, 2023
Soil Boring

Soil Boring – 4 Different Methods of Soil Boring

July 12, 2023
Seismic Refraction Survey

Seismic Refraction Survey – Determine Classification and Thickness of Various Soil Layer

December 2, 2023
Depth of Boring

Depth of Boring and Borehole Spacing for Soil Investigation

July 13, 2023
Transport-Traffic-Design

Traffic Design-An Accident Investigation Problem

0
what is concrete made of?

Concrete and Reinforced Concrete

0
What is Rebar-Rebar Sizes, Grade, and Types

Learn All About Rebar-Rebar Sizes, Grades, and Types

0
sprinkle-irrigation-systems

Sprinkler Irrigation Systems -Types of sprinkler

0

Test

December 2, 2023
What is Civil Engineering

Navigating the World of Civil Engineering: From Education to Mega Projects

October 26, 2023
Sustainable Building

Building for the Future: The Importance of Sustainable Building Design

July 13, 2023
History of Concrete

History of Concrete Timeline: Ancient World (6500 BC) to Modern Times

July 13, 2023

Popular Article

  • What is Rebar-Rebar Sizes, Grade, and Types

    Learn All About Rebar-Rebar Sizes, Grades, and Types

    421 shares
    Share 0 Tweet 0
  • Soil Boring – 4 Different Methods of Soil Boring

    0 shares
    Share 0 Tweet 0
  • Seismic Refraction Survey – Determine Classification and Thickness of Various Soil Layer

    0 shares
    Share 0 Tweet 0
  • Depth of Boring and Borehole Spacing for Soil Investigation

    0 shares
    Share 0 Tweet 0

Recent News

What is Civil Engineering

Navigating the World of Civil Engineering: From Education to Mega Projects

October 26, 2023
Sustainable Building

Building for the Future: The Importance of Sustainable Building Design

July 13, 2023
History of Concrete

History of Concrete Timeline: Ancient World (6500 BC) to Modern Times

July 13, 2023
SRM Concrete

Why SRM Concrete is the Top Choice for Commercial and Residential Projects

July 13, 2023

CIVILHEX

Inspiring Civil Engineers & Architects with a Treasure Trove of Information and Ideas!

Welcome to Civilhex, your ultimate online destination for civil engineers, structural engineers, architects, construction professionals, and civil engineering students. Explore various engineering topics, ranging from geotechnical, structural, foundation water resources, and transportation engineering. Stay up-to-date with the latest advancements in technology, cutting-edge research, comprehensive guides, and safety-related information. Civilhex is your go-to resource for all things civil engineering. Visit us today and enhance your knowledge in the field.

Follow Us

Browse by Category

  • Civil Engineering
  • Construction
  • Foundation Engineering
  • Mathematics
  • Structural Engineering
  • Uncategorized

Contact Us

Email: [email protected]
Phone: +1 213 376 3997

Location

185 Greenwich St, New York, USA NY 10007

Recent News

Test

December 2, 2023
What is Civil Engineering

Navigating the World of Civil Engineering: From Education to Mega Projects

October 26, 2023
  • About
  • Contact Us
  • Privacy Policy
  • Terms & Conditions
  • Disclaimer

© 2023 Civilhex - Civil Engineering

No Result
View All Result
  • Home
  • Civil Engineering
    • Mathematics
  • Foundation Engineering
  • Structural Engineering
  • Construction
  • About
  • Contact Us

© 2023 Civilhex - Civil Engineering

Welcome Back!

Login to your account below

Forgotten Password?

Retrieve your password

Please enter your username or email address to reset your password.

Log In

Add New Playlist

We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Visit our Privacy and Cookie Policy.