ºÝºÝߣ

ºÝºÝߣShare a Scribd company logo

presentation on matrix

•Download as PPTX, PDF•
•
Nikhi Jain
Nikhi Jain

This document defines and provides examples of different types of matrices: - Matrices are arrangements of elements in rows and columns represented by symbols. - Types include row matrices, column matrices, square matrices, null matrices, identity matrices, diagonal matrices, scalar matrices, triangular matrices, transpose matrices, symmetric matrices, skew matrices, equal matrices, and algebraic matrices. - Algebraic matrix operations include addition, subtraction, and multiplication where the matrices must be of the same order.

1 of 12
Downloaded 3,609 times
PRESENTED BY: Nikhi jain Salini bhadoria Gunjan dwivedi Shilpi barua Ritu Tomar
ï‚— It is an collection of elements which is arranges in rows columns. ï‚— It is the Combination of linear equation. ï‚— It is Represented by these symbols: ï‚— , , e.g. - 3*3
1. Row matrices – A matrices which has only one row called row matrices e.g.- [123]1*3 2. Column matrices – A matrices which has only one column is called column matrices e.g. –
3. Square matrices – No. of the rows and No. of the column is same e.g. 4. Null matrices – Which all elements is equal to ‘0’
5. Identity matrices – A square matrices who’s main diagonal is assinty value ‘1’ and each of the other element is ‘0’ e.g. - , 6. Diagonal matrices – A square matrices all of who’s element expect those in the leading diagonal are ‘0’ e.g. -
7. Scalar matrices – A diagonal matrices in which all the elements of main diagonal is same called scalar matrices e.g.- 3*3 8. Triangular matrices – there are two types: - Upper triangular – All the below elements are ‘0’ Lower triangular – All the above elements are ‘0’
9. Transpose Matrices – A matrices obtained by inter changing the rows and columns of a matrices A It is denoted by A’ , AT e.g.:- A AT 10. Symmetric Matrices - A square matrices A is called symmetric matrices if it is equal to its transpose e.g.-
11. Skew Matrices - if A’ = -A is called skew matrices e.g.- 2*2 12. Equal Matrices – If two matrices order and there corresponding element is same is called equal matrices If X
13. Algebraic Matrices – There are three type:- i. Addition method - for addition of two matrices the order must be same e.g.:- A +
ii.Subtraction method –For subtraction of two matrices the order must be same. Example:- A A-B
Multiplication of method – iii. Example:-
presentation on matrix

More Related Content

presentation on matrix

  • 1. PRESENTED BY: Nikhi jain Salini bhadoria Gunjan dwivedi Shilpi barua Ritu Tomar
  • 2. ï‚— It is an collection of elements which is arranges in rows columns. ï‚— It is the Combination of linear equation. ï‚— It is Represented by these symbols: ï‚— , , e.g. - 3*3
  • 3. 1. Row matrices – A matrices which has only one row called row matrices e.g.- [123]1*3 2. Column matrices – A matrices which has only one column is called column matrices e.g. –
  • 4. 3. Square matrices – No. of the rows and No. of the column is same e.g. 4. Null matrices – Which all elements is equal to ‘0’
  • 5. 5. Identity matrices – A square matrices who’s main diagonal is assinty value ‘1’ and each of the other element is ‘0’ e.g. - , 6. Diagonal matrices – A square matrices all of who’s element expect those in the leading diagonal are ‘0’ e.g. -
  • 6. 7. Scalar matrices – A diagonal matrices in which all the elements of main diagonal is same called scalar matrices e.g.- 3*3 8. Triangular matrices – there are two types: - Upper triangular – All the below elements are ‘0’ Lower triangular – All the above elements are ‘0’
  • 7. 9. Transpose Matrices – A matrices obtained by inter changing the rows and columns of a matrices A It is denoted by A’ , AT e.g.:- A AT 10. Symmetric Matrices - A square matrices A is called symmetric matrices if it is equal to its transpose e.g.-
  • 8. 11. Skew Matrices - if A’ = -A is called skew matrices e.g.- 2*2 12. Equal Matrices – If two matrices order and there corresponding element is same is called equal matrices If X
  • 9. 13. Algebraic Matrices – There are three type:- i. Addition method - for addition of two matrices the order must be same e.g.:- A +
  • 10. ii.Subtraction method –For subtraction of two matrices the order must be same. Example:- A A-B
  • 11. Multiplication of method – iii. Example:-