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MATRICES
Mathodology
In the name of Allah, most
gracious and merciful
MATRICES
Mathodology
“When Some Numbers Are
Arranged In Rows And Columns
And Are Surrounded On Both
Sides By Square Or Round
Brackets”
1 3 4
5 7 8
2 6 8
3 7 9
OR
we enclose matrix by or .
MATRICES
Mathodology
These are called entries or
elements of matrix
1 3 4
5 7 8
2 6 8
3 7 9
OR
MATRICES
Mathodology
1 3 4
5 7 8
Rows of matrix
1 3 4
5 7 8
Columns of matrix
MATRICES
Mathodology
1 3 4
5 7 8
Rows of matrix Columns of matrix
“Order of matrix is defined
as no. of rows and no. of
columns”
x
But we will not multiple it as we just represent the order or size of a matrix in
this way
MATRICES
Mathodology
1 3 4
5 7 8
Rows of matrix Columns of matrix
Order of this matrix is
2 x 3
As it has 2 rows and 3
columns
x
MATRICES
Mathodology
13 3 4 7
5 7 8 9
1 5 7 9
Example: What Is The Order Of Matrix A?
A =
MATRICES
Mathodology
1. Row Matrix: Matrix with one row
Types Of Matrices:
e.g A = 7 8 3 4
2. Column Matrix: Matrix with one column
e.g A =
7
5
10
3. Square Matrix: Matrix with equal no. of column and no. of rows
e.g A =
1 3
3 6
MATRICES
Mathodology
4.Rectangular matrix: Matrix with unequal no. of rows and no. of
columns
Types Of Matrices:
e.g A =
7 8 3 4
2 8 9 0
5.Diagonal Matrix: square matrix with non – diagonal elements are non
zero.
e.g A =
1 0
0 6
6.Singleton Matrix: that contains only one element.
e.g A = 6
MATRICES
Mathodology
7. Null matrix: Matrix with all the entries are zero
Types Of Matrices:
e.g A =
0 0
0 0
8. Identity Matrix: square matrix with non – diagonal elements are zero
and diagonal elements are ones.
e.g A =
7 0
0 3
9. Scalar Matrix: square matrix with non – diagonal elements are zero and
diagonal elements are others.
MATRICES
Mathodology
That is all……!
Praise be to the Lord of all worlds

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MATRICES all bacis.pptx