Mastery @ exemplary knowledge Matrices .

A detailed description on matrices and types

1. MATRICES AND
DETERMINANTS

- M. SHREE ( 1020722BD125 )
PEDAGOGY OF MATHEMATICS

2. MATRIX DEFINITION AND ITS GENERAL FORM

* A MATRIX is a rectangular array or arrangement of entries or elements displayed in

rows and columns put wi a square bracket [ ].

+ Usually matrices are denoted by capital letters A,B,C...... etc

* Ifa matrix A has m rows and n columns, then it is written as A =[a,],., , | Si<m,
I<jsn.

3. MATRIX STRUCTURE

«" Ina Matrix, the horizontal lines of elements are known as Rows.
+ Ina Matrix. the vertical lines of elements are known as Columns.

+ For Example,
Ke ee ey
Consider a Matrix A=|4 5 ‘|
7 8 9
* A has 3 rows and 3 columns.
if a matrix A has m rows and n columns then the order or size of the matrix À is defined to be m x n {read as m by n }

+ The numbers 1.23... are called the elements or the entries of the matrix A.

4. TYPES OF MATRICES

** ROW MATRIX:
A Matrix having only one row. Example: A=[| 2 3]
+ COLUMN MATRIX:
A Matrix having only one column. Example :A = El
+ ZERO MATRIX ( NULL MATRIX /VOID MATRIX )
A Matrix A = [ a) ] mun is said to be zero matrix if a, = 0 for all values of

000
Isism, Isjsn. Example: A= |0 0 0
000

5. EQUALITY OF MATRICES :

** Two matrices À = [ a,] and B = [ by] are equal iff both A and B are of the same order and the corresponding
entries ofA and B are EU SST

2]

then we must have x = 1, y = 15,u=2, v =3

for instance if 2 =] = E

6. THANK YOU