# matrix

Document Sample

```					MATRIX: A rectangular
arrangement of                  This order of this matrix
numbers in rows and             is a 2 x 3.
columns.
columns
The ORDER of a matrix
is the number of the
rows and columns.                6 2  1
The ENTRIES are the
 2 0 5 
        
numbers in the matrix.
rows
8     1      3               (or square   9    5 7          0
0     0       2
3x3
matrix)
                                                1x4
(Also called a
column matrix)
 10
      4       3


 2   0      4      6     3
1                                                             9
      1     5 9         8
        3x5                      7 
7                         6                                  
      3      2      7                                       0
 
6
1         1      2x2
(or square
0                       matrix)                           4x1

         2                                           (Also called a
row matrix)
To add two matrices, they must have the same
entries.
 5     3   2    1     5  (2)  3  1 
 3                         33            
       4  3
         0 

           40 
 0
       7   4
         3
     04
         7  (3)


 3     2
 0
       4 

 4
       4 

 8 0 1 3   1 7                     5  2
 5 4 2 9    5 3                    3  2
                                          

=
    8  (1)

 5 5
07
4 3
1 5
2 3
3 2
9  (2)   
=
   0
7
7
7    4
5
5
7

To subtract two matrices, they must have the same
order. You simply subtract corresponding entries.

 9 2 4   4 0 7   9 4        20      47 
 5 0 6    1 5  4                            
                     5 1     05    6  (4)
 1 3 8   2 3 2  1  (2)
                               33      82  
 5     2      3
 4
       5        
10 
 3
        0      6 

2       4      3 0     1         8
8       0            3 1
 7                 
1

1
        5       0   4 2
                7


=
    2-0
8-3
1-(-4)
-4-1
0-(-1) -7-1
5-2
3-8

0-7

=
2 -5 -5
5 1 -8
5   3   -7

In matrix algebra, a real number is often called a SCALAR.
To multiply a matrix by a scalar, you multiply each entry in
the matrix by that scalar.

 2       0    4(2)                   4(0) 
4              
 1                                 
 4               4(4)                   4(1) 
 8             0 
                  
 16             4
 1         2   4      5 
 2 
 0             6          
           3            8 

 1 4               2  5 
 2 
 06


                  3  (8) 

-2
   -3 3

               
6 -5

    -2(-3) -2(3)
-2(6)    -2(-5)

6 -6
-12 10
This powerpoint was kindly donated to
www.worldofteaching.com

http://www.worldofteaching.com is home to over a
thousand powerpoints submitted by teachers. This is a
completely free site and requires no registration. Please
visit and I hope it will help in your teaching.

```
DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
 views: 1 posted: 8/31/2012 language: English pages: 10