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Matrices
1.
CLASS: 10 Prsentation by: Manjunatha.P.N. B.Ed.
I sem ( I Year ) Indira college of education, Tumkur CHAPTER :MATRICES
2.
DEFINE A MATRIX A matrix
is an ordered rectangular array of numbers or functions.
3.
DEFINE A ORDER
OF THE MATRIX A matrix having m rows and n columns is called a marix of order m x n.
4.
MATRICES 1. ROW MATRIX 2.
COLUMN MATRIX 3. NULL MATRIX 4. RECTANGULAR MATRIX 5. SQUARE MATRIX * DIAGONAL MATRIX * SCALAR MATRIX * UNIT MATRIX * SYMMETRIC MATRIX * SKEW SYMMETRIC MATRIX MATRICESMATRICESTYPES OF
5.
1 0 9 6
6.
ROW MATRIX A Matrix having
only one Row is called a Row matrix
7.
9 4 7 5
8.
COLUMN MATRIX A Matrix
having only one Column is called a Column matrix
9.
0 0 0 0 0
10.
NULL MATRIX A Matrix
in which all its elements are zero is called Null Matrix or zero matrix
11.
1 2 3 4 5
6 7 8
12.
RECTANGULAR MATRIX A Matrix in
which the number of rows are not equal to the number of columns is called a rectangular matrix.
13.
1 0 9 2 7
9 3 6 9
14.
SQUARE MATRIX A Matrix
in which the number of rows are equal to the number of columns is called a rectangular matrix.
15.
DIAGONAL MATRIX 1 0 0 0
2 0 0 0 3
16.
DIAGONAL MATRIX A Square
Matrix in which all the elements except the diagonal elements are zero is called a diagonal matrix.
17.
SCALAR MATRIX 2 0
0 0 2 0 0 0 2
18.
SCALAR MATRIX A Square
Matrix in which all the elements except the diagonal elements are equal is called a scalar matrix.
19.
IDENTITY MATRIX 1 0
0 0 1 0 0 0 1
20.
IDENTITY MATRIX A Square
Matrix in which all the elements except the diagonal elements are unity is called a unit matrix.
21.
SYMMETRIC MATRIX 5 3 6 3
9 2 6 2 4
22.
SYMMETRIC MATRIX A Square
Matrix is said to be symmetric iff AT = A.
23.
SYMMETRIC MATRIX 5 3 6 3
9 2 6 2 4 A = AT = 5 3 6 3 9 2 6 2 4 A=A T
24.
SKEW SYMMETRIC MATRIX 0 -3
6 3 0 -2 -6 2 0
25.
SKEW SYMMETRIC MATRIX A Square
Matrix is said to be Skew symmetric iff AT = -A.
26.
MATRIX with their Address specification a11
a12 a13 a21 a22 a23 a31 a32 a33
27.
WRITE THE GENERAL SYNTAX
OF A MATRIX (Rectangular Array) a11 a12 a13 … a1j …a1n a21 a22 a23 … a2j …a2n . . . … . … . . . . … . … . . . . … . … . am1 am2 am3 … amj …amn
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