![Addition and
Subtraction of
Matrices
Dr. Mehar
Chand
Addition of
Matrices
Scalar
Multiplication
Negative of a
Matrix
Difference of a
Matrix
Video
Addition of Matrices
Definition (Addition of Matrices)
Let A = [aij ]m×n and B = [bij ]m×n be two matrices of the
same order. Then their sum A + B is defined as a new
matrix C = [cij ]m×n, where cij = aij + bij for all 1 ≤ i ≤ m
and 1 ≤ j ≤ n
Dr. Mehar Chand Addition and Subtraction of Matrices](https://image.slidesharecdn.com/tutorial-3-200423233458/85/Tutorial-3-Matrices-Addition-and-Subtraction-of-Matrices-3-320.jpg)
![Addition and
Subtraction of
Matrices
Dr. Mehar
Chand
Addition of
Matrices
Scalar
Multiplication
Negative of a
Matrix
Difference of a
Matrix
Video
Scalar Multiplication
Definition (Scalar Multiplication)
Let A = [aij ]m×n be any matrix and k by any number or
scalar. Then the matrix obtained by multiplication of every
element of A by k is called a scalar multiplication and is
denoted by kA thus kA = [kaij ]m×n
Dr. Mehar Chand Addition and Subtraction of Matrices](https://image.slidesharecdn.com/tutorial-3-200423233458/85/Tutorial-3-Matrices-Addition-and-Subtraction-of-Matrices-4-320.jpg)
![Addition and
Subtraction of
Matrices
Dr. Mehar
Chand
Addition of
Matrices
Scalar
Multiplication
Negative of a
Matrix
Difference of a
Matrix
Video
Negative of a Matrix
Definition (Negative of a Matrix)
Let A = [aij ]m×n be any matrix, then negative of matrix A is
denoted by −A and is defined as (−1)A. Thus if
A = [aij ]m×n, then, −A = [−aij ]m×n
Dr. Mehar Chand Addition and Subtraction of Matrices](https://image.slidesharecdn.com/tutorial-3-200423233458/85/Tutorial-3-Matrices-Addition-and-Subtraction-of-Matrices-5-320.jpg)
![Addition and
Subtraction of
Matrices
Dr. Mehar
Chand
Addition of
Matrices
Scalar
Multiplication
Negative of a
Matrix
Difference of a
Matrix
Video
Difference of a Matrix
Definition (Difference of a Matrix)
Let A = [aij ]m×n and B = [bij ]m×n be two matrices of the
same order. Then their difference A − B is defined as a new
matrix C = [cij ]m×n, where cij = aij − bij for all 1 ≤ i ≤ m
and 1 ≤ j ≤ n
Dr. Mehar Chand Addition and Subtraction of Matrices](https://image.slidesharecdn.com/tutorial-3-200423233458/85/Tutorial-3-Matrices-Addition-and-Subtraction-of-Matrices-6-320.jpg)
Tutorial 3: Matrices-Addition and Subtraction of Matrices
- 1. Addition and Subtraction of Matrices Dr. Mehar Chand Addition of Matrices Scalar Multiplication Negative of a Matrix Difference of a Matrix Video Tutorial-III: Matrices Basic Mathematics: Addition and Subtraction of Matrices Dr. Mehar Chand Department of Mathematics Baba Farid College, Bathinda-151001 April 22, 2020 Dr. Mehar Chand Addition and Subtraction of Matrices
- 2. Addition and Subtraction of Matrices Dr. Mehar Chand Addition of Matrices Scalar Multiplication Negative of a Matrix Difference of a Matrix Video Contents 1 Addition of Matrices 2 Scalar Multiplication 3 Negative of a Matrix 4 Difference of a Matrix 5 Full video Lecture Dr. Mehar Chand Addition and Subtraction of Matrices
- 3. Addition and Subtraction of Matrices Dr. Mehar Chand Addition of Matrices Scalar Multiplication Negative of a Matrix Difference of a Matrix Video Addition of Matrices Definition (Addition of Matrices) Let A = [aij ]m×n and B = [bij ]m×n be two matrices of the same order. Then their sum A + B is defined as a new matrix C = [cij ]m×n, where cij = aij + bij for all 1 ≤ i ≤ m and 1 ≤ j ≤ n Dr. Mehar Chand Addition and Subtraction of Matrices
- 4. Addition and Subtraction of Matrices Dr. Mehar Chand Addition of Matrices Scalar Multiplication Negative of a Matrix Difference of a Matrix Video Scalar Multiplication Definition (Scalar Multiplication) Let A = [aij ]m×n be any matrix and k by any number or scalar. Then the matrix obtained by multiplication of every element of A by k is called a scalar multiplication and is denoted by kA thus kA = [kaij ]m×n Dr. Mehar Chand Addition and Subtraction of Matrices
- 5. Addition and Subtraction of Matrices Dr. Mehar Chand Addition of Matrices Scalar Multiplication Negative of a Matrix Difference of a Matrix Video Negative of a Matrix Definition (Negative of a Matrix) Let A = [aij ]m×n be any matrix, then negative of matrix A is denoted by −A and is defined as (−1)A. Thus if A = [aij ]m×n, then, −A = [−aij ]m×n Dr. Mehar Chand Addition and Subtraction of Matrices
- 6. Addition and Subtraction of Matrices Dr. Mehar Chand Addition of Matrices Scalar Multiplication Negative of a Matrix Difference of a Matrix Video Difference of a Matrix Definition (Difference of a Matrix) Let A = [aij ]m×n and B = [bij ]m×n be two matrices of the same order. Then their difference A − B is defined as a new matrix C = [cij ]m×n, where cij = aij − bij for all 1 ≤ i ≤ m and 1 ≤ j ≤ n Dr. Mehar Chand Addition and Subtraction of Matrices
- 7. Addition and Subtraction of Matrices Dr. Mehar Chand Addition of Matrices Scalar Multiplication Negative of a Matrix Difference of a Matrix Video Full video Lecture To see full video lecture visit the below link https://youtu.be/hEId2ZuD4Qc Dr. Mehar Chand Addition and Subtraction of Matrices
- 8. Addition and Subtraction of Matrices Dr. Mehar Chand Addition of Matrices Scalar Multiplication Negative of a Matrix Difference of a Matrix Video Thank you Dr. Mehar Chand Addition and Subtraction of Matrices