presentation on matrix
TRANSCRIPT
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PRESENTED BY:
Nikhi jain
Salini bhadoria
Gunjan dwivedi
Shilpi barua
Ritu Tomar
Matrices And It's Types
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It is an collection of elements which is arranges in rows columns.
It is the Combination of linear equation. It is Represented by these symbols: , ,
e.g. -
Matrices
3*3
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Types of Matrices
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. –
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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’
Contd….
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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. -
Contd….
,
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7. Scalar matrices – A diagonal matrices in which all the elements of main diagonal is same called scalar matrices e.g.-
8. Triangular matrices – there are two types: - Upper triangular – All the below elements
are ‘0’
Lower triangular – All the above elements are ‘0’
Contd….
3*3
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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.:-
10. Symmetric Matrices - A square matrices A is called symmetric matrices if it is equal to its transpose e.g.-
Contd….
A AT
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11. Skew Matrices - if A’ = -A is called skew matrices e.g.-
12. Equal Matrices – If two matrices order and there corresponding element is same is called equal matrices
Contd….
2*2
If X
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13. Algebraic Matrices – There are three type:-i. Addition method - for addition of two
matrices the order must be same e.g.:-
Contd….
A
+
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ii. Subtraction method –For subtraction of two matrices the order must be same.
Example:-
Contd….
A
A-B
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iii. Multiplication of method – Example:-
Contd….
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THANK YOU