SlideShare ist ein Scribd-Unternehmen logo
1 von 11
Matrix And It’s
Operation
(Addition, Subtraction
& Multiplication).
Submitted To:
Submitted By:
MD. Mohiuddin
Lecturer
Department Of Natural Science
Daffodil International University
Nirnay Mukharjee
ID :– 143 - 15 – 4421
Department Of CSE
Daffodil International University
Index
About Matrices
Matrix Addition
Matrix Subtraction
Matrix Multiplication
About Matrices
 A matrix is a rectangular
arrangement of numbers in rows and
columns. Rows run horizontally and
columns run vertically.
 The dimensions of a matrix are stated
“m x n” where ‘m’ is the number of
rows and ‘n’ is the number of
columns.
•Only matrices with the same
dimensions can be added or
subtracted.
•The resulting matrix has the same
dimension of the two matrices being
added or subtracted.
Matrix Addition And
Subtraction
Example Of Matrix Addition
1.
−2 0 4
3 −10 12
3 −2 −2










+
−4 6 0
−15 2 −4
6 7 1










6 6 4
12 8 8
9 5 1
− 
 − − 
 − 
−2 − 4 0 + 6 4 + 0
3 −15 −10 + 2 12 − 4
3 + 6 −2 + 7 −2 + 1










Add the
corresponding
elements in each
matrix
3.
2 −18
20 −5





 −
−4 2
−5 1






2 − (−4) −18 − 2
20 − (−5) −5 −1






6 −20
25 −6






Example Of Matrix
Subtraction
Matrix
Multiplication
In Matrix Multiplication, if A is an n × m matrix and B is
an m × p matrix, their matrix product AB is
an n × p matrix. In which the n entries across a row
of A are multiplied with the p entries down a columns
of B and summed to produce an entry of AB.
Example Of Matrix
Multiplication
A = B =1 2 3
4 5 6
7 8 9
1 5 9
7 2 9
3 8 1
AB = 1x2+2x7+3x3 1x5+2x2+3x8 1x9+2x9+3x1
4x1+5x7+6x3 4x5+5x2+6x8 4x9+5x9+6x1
7x1+8x7+9x3 7x5+8x2+9x8 7x9+8x9+9x1
AB =
25 33 30
57 78 87
90 123 144
Thank You
Any Question???

Weitere ähnliche Inhalte

Was ist angesagt?

Applications of Matrices
Applications of MatricesApplications of Matrices
Applications of Matrices
santhosh kumar
 
Matrix Operations
Matrix OperationsMatrix Operations
Matrix Operations
Ron Eick
 
presentation on matrix
 presentation on matrix presentation on matrix
presentation on matrix
Nikhi Jain
 
Inverse Matrix & Determinants
Inverse Matrix & DeterminantsInverse Matrix & Determinants
Inverse Matrix & Determinants
itutor
 

Was ist angesagt? (20)

Applications of Matrices
Applications of MatricesApplications of Matrices
Applications of Matrices
 
Matrices
MatricesMatrices
Matrices
 
Matrices
MatricesMatrices
Matrices
 
Matrix Operations
Matrix OperationsMatrix Operations
Matrix Operations
 
presentation on matrix
 presentation on matrix presentation on matrix
presentation on matrix
 
Matrix.
Matrix.Matrix.
Matrix.
 
Presentation on matrix
Presentation on matrixPresentation on matrix
Presentation on matrix
 
Lesson 3 - matrix multiplication
Lesson 3 - matrix multiplicationLesson 3 - matrix multiplication
Lesson 3 - matrix multiplication
 
Matrices and System of Linear Equations ppt
Matrices and System of Linear Equations pptMatrices and System of Linear Equations ppt
Matrices and System of Linear Equations ppt
 
Triangularization method
Triangularization methodTriangularization method
Triangularization method
 
Limits
LimitsLimits
Limits
 
Matrices And Application Of Matrices
Matrices And Application Of MatricesMatrices And Application Of Matrices
Matrices And Application Of Matrices
 
Matrix presentation By DHEERAJ KATARIA
Matrix presentation By DHEERAJ KATARIAMatrix presentation By DHEERAJ KATARIA
Matrix presentation By DHEERAJ KATARIA
 
Inverse Matrix & Determinants
Inverse Matrix & DeterminantsInverse Matrix & Determinants
Inverse Matrix & Determinants
 
Matrices ppt
Matrices pptMatrices ppt
Matrices ppt
 
Differential calculus
Differential calculusDifferential calculus
Differential calculus
 
matrices basic operation.ppt
matrices basic operation.pptmatrices basic operation.ppt
matrices basic operation.ppt
 
Matrices & Determinants
Matrices & DeterminantsMatrices & Determinants
Matrices & Determinants
 
matrix algebra
matrix algebramatrix algebra
matrix algebra
 
INTRODUCTION TO MATRICES, TYPES OF MATRICES,
INTRODUCTION TO MATRICES, TYPES OF MATRICES, INTRODUCTION TO MATRICES, TYPES OF MATRICES,
INTRODUCTION TO MATRICES, TYPES OF MATRICES,
 

Andere mochten auch

2002 it in educational management organic school info-systems-decision making...
2002 it in educational management organic school info-systems-decision making...2002 it in educational management organic school info-systems-decision making...
2002 it in educational management organic school info-systems-decision making...
Christopher Thorn
 
Linear Functions And Matrices
Linear Functions And MatricesLinear Functions And Matrices
Linear Functions And Matrices
andrewhickson
 
6.1 system of linear equations and matrices
6.1 system of linear equations and matrices6.1 system of linear equations and matrices
6.1 system of linear equations and matrices
math260
 
Matrixes (Addition, subtraction, inverse part 1)
Matrixes (Addition, subtraction, inverse part 1)Matrixes (Addition, subtraction, inverse part 1)
Matrixes (Addition, subtraction, inverse part 1)
Arric Tan
 
Adding and subtracting matrices unit 3, lesson 2
Adding and subtracting matrices   unit 3, lesson 2Adding and subtracting matrices   unit 3, lesson 2
Adding and subtracting matrices unit 3, lesson 2
holmsted
 
Truth tables presentation
Truth tables presentationTruth tables presentation
Truth tables presentation
MujtaBa Khan
 
Beginning direct3d gameprogrammingmath05_matrices_20160515_jintaeks
Beginning direct3d gameprogrammingmath05_matrices_20160515_jintaeksBeginning direct3d gameprogrammingmath05_matrices_20160515_jintaeks
Beginning direct3d gameprogrammingmath05_matrices_20160515_jintaeks
JinTaek Seo
 
Truth tables
Truth tablesTruth tables
Truth tables
walkerlj
 

Andere mochten auch (20)

M a t r i k s
M a t r i k sM a t r i k s
M a t r i k s
 
2002 it in educational management organic school info-systems-decision making...
2002 it in educational management organic school info-systems-decision making...2002 it in educational management organic school info-systems-decision making...
2002 it in educational management organic school info-systems-decision making...
 
Linear Functions And Matrices
Linear Functions And MatricesLinear Functions And Matrices
Linear Functions And Matrices
 
6.1 system of linear equations and matrices
6.1 system of linear equations and matrices6.1 system of linear equations and matrices
6.1 system of linear equations and matrices
 
Making your School Decision
Making your School DecisionMaking your School Decision
Making your School Decision
 
Matrixes (Addition, subtraction, inverse part 1)
Matrixes (Addition, subtraction, inverse part 1)Matrixes (Addition, subtraction, inverse part 1)
Matrixes (Addition, subtraction, inverse part 1)
 
Adding and subtracting matrices unit 3, lesson 2
Adding and subtracting matrices   unit 3, lesson 2Adding and subtracting matrices   unit 3, lesson 2
Adding and subtracting matrices unit 3, lesson 2
 
Final project
Final projectFinal project
Final project
 
Truth tables presentation
Truth tables presentationTruth tables presentation
Truth tables presentation
 
Matrices - Mathematics
Matrices - MathematicsMatrices - Mathematics
Matrices - Mathematics
 
Logic gates
Logic gatesLogic gates
Logic gates
 
Educational administration and management
Educational administration and managementEducational administration and management
Educational administration and management
 
Beginning direct3d gameprogrammingmath05_matrices_20160515_jintaeks
Beginning direct3d gameprogrammingmath05_matrices_20160515_jintaeksBeginning direct3d gameprogrammingmath05_matrices_20160515_jintaeks
Beginning direct3d gameprogrammingmath05_matrices_20160515_jintaeks
 
Truth tables
Truth tablesTruth tables
Truth tables
 
Decision Making : Management Function
Decision Making : Management FunctionDecision Making : Management Function
Decision Making : Management Function
 
Decision Making - Management Principles
Decision Making - Management PrinciplesDecision Making - Management Principles
Decision Making - Management Principles
 
System Development Life Cycle (SDLC) - Part II
System Development Life Cycle (SDLC) - Part IISystem Development Life Cycle (SDLC) - Part II
System Development Life Cycle (SDLC) - Part II
 
A Tutorial on Computational Geometry
A Tutorial on Computational GeometryA Tutorial on Computational Geometry
A Tutorial on Computational Geometry
 
physics investigatory project class 12 on logic gates ,boolean algebra
physics investigatory project class 12 on logic gates ,boolean algebraphysics investigatory project class 12 on logic gates ,boolean algebra
physics investigatory project class 12 on logic gates ,boolean algebra
 
system linear equations and matrices
 system linear equations and matrices system linear equations and matrices
system linear equations and matrices
 

Ähnlich wie Matrix and its operation (addition, subtraction, multiplication)

Basic MATLAB-Presentation.pptx
Basic MATLAB-Presentation.pptxBasic MATLAB-Presentation.pptx
Basic MATLAB-Presentation.pptx
PremanandS3
 

Ähnlich wie Matrix and its operation (addition, subtraction, multiplication) (20)

UNIT-1 MATRICES (All the Topics).pdf
UNIT-1 MATRICES (All the Topics).pdfUNIT-1 MATRICES (All the Topics).pdf
UNIT-1 MATRICES (All the Topics).pdf
 
Ses 2 matrix opt
Ses 2 matrix optSes 2 matrix opt
Ses 2 matrix opt
 
Rank of a matrix
Rank of a matrixRank of a matrix
Rank of a matrix
 
Matrix and its applications by mohammad imran
Matrix and its applications by mohammad imranMatrix and its applications by mohammad imran
Matrix and its applications by mohammad imran
 
matrix
matrixmatrix
matrix
 
Introduction to Data Structure
Introduction to Data Structure Introduction to Data Structure
Introduction to Data Structure
 
Linear Algebra Presentation including basic of linear Algebra
Linear Algebra Presentation including basic of linear AlgebraLinear Algebra Presentation including basic of linear Algebra
Linear Algebra Presentation including basic of linear Algebra
 
N41049093
N41049093N41049093
N41049093
 
11th MATRICES PPT.pptx
11th MATRICES PPT.pptx11th MATRICES PPT.pptx
11th MATRICES PPT.pptx
 
Matrix Algebra : Mathematics for Business
Matrix Algebra : Mathematics for BusinessMatrix Algebra : Mathematics for Business
Matrix Algebra : Mathematics for Business
 
MATLAB - Arrays and Matrices
MATLAB - Arrays and MatricesMATLAB - Arrays and Matrices
MATLAB - Arrays and Matrices
 
Matrices
MatricesMatrices
Matrices
 
Basic MATLAB-Presentation.pptx
Basic MATLAB-Presentation.pptxBasic MATLAB-Presentation.pptx
Basic MATLAB-Presentation.pptx
 
Machine learning Introduction
Machine learning IntroductionMachine learning Introduction
Machine learning Introduction
 
Matrices and Determinants
Matrices and DeterminantsMatrices and Determinants
Matrices and Determinants
 
Matrix
MatrixMatrix
Matrix
 
Matrices and determinants
Matrices and determinantsMatrices and determinants
Matrices and determinants
 
Matrix and it's Application
Matrix and it's ApplicationMatrix and it's Application
Matrix and it's Application
 
ML MODULE 2.pdf
ML MODULE 2.pdfML MODULE 2.pdf
ML MODULE 2.pdf
 
Matrices
MatricesMatrices
Matrices
 

Kürzlich hochgeladen

Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
ciinovamais
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
kauryashika82
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
QucHHunhnh
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
QucHHunhnh
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Krashi Coaching
 

Kürzlich hochgeladen (20)

Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across Sectors
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 
Z Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphZ Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot Graph
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SD
 
Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdf
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
social pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajansocial pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajan
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activity
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
 
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
fourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writingfourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writing
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
 
General AI for Medical Educators April 2024
General AI for Medical Educators April 2024General AI for Medical Educators April 2024
General AI for Medical Educators April 2024
 
Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
 
Advance Mobile Application Development class 07
Advance Mobile Application Development class 07Advance Mobile Application Development class 07
Advance Mobile Application Development class 07
 

Matrix and its operation (addition, subtraction, multiplication)

  • 1. Matrix And It’s Operation (Addition, Subtraction & Multiplication).
  • 2. Submitted To: Submitted By: MD. Mohiuddin Lecturer Department Of Natural Science Daffodil International University Nirnay Mukharjee ID :– 143 - 15 – 4421 Department Of CSE Daffodil International University
  • 3. Index About Matrices Matrix Addition Matrix Subtraction Matrix Multiplication
  • 4. About Matrices  A matrix is a rectangular arrangement of numbers in rows and columns. Rows run horizontally and columns run vertically.  The dimensions of a matrix are stated “m x n” where ‘m’ is the number of rows and ‘n’ is the number of columns.
  • 5. •Only matrices with the same dimensions can be added or subtracted. •The resulting matrix has the same dimension of the two matrices being added or subtracted. Matrix Addition And Subtraction
  • 6. Example Of Matrix Addition 1. −2 0 4 3 −10 12 3 −2 −2           + −4 6 0 −15 2 −4 6 7 1           6 6 4 12 8 8 9 5 1 −   − −   −  −2 − 4 0 + 6 4 + 0 3 −15 −10 + 2 12 − 4 3 + 6 −2 + 7 −2 + 1           Add the corresponding elements in each matrix
  • 7. 3. 2 −18 20 −5       − −4 2 −5 1       2 − (−4) −18 − 2 20 − (−5) −5 −1       6 −20 25 −6       Example Of Matrix Subtraction
  • 8. Matrix Multiplication In Matrix Multiplication, if A is an n × m matrix and B is an m × p matrix, their matrix product AB is an n × p matrix. In which the n entries across a row of A are multiplied with the p entries down a columns of B and summed to produce an entry of AB.
  • 9. Example Of Matrix Multiplication A = B =1 2 3 4 5 6 7 8 9 1 5 9 7 2 9 3 8 1 AB = 1x2+2x7+3x3 1x5+2x2+3x8 1x9+2x9+3x1 4x1+5x7+6x3 4x5+5x2+6x8 4x9+5x9+6x1 7x1+8x7+9x3 7x5+8x2+9x8 7x9+8x9+9x1
  • 10. AB = 25 33 30 57 78 87 90 123 144