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Matrix Operations
MATRIX: A rectangular arrangement of numbers in rows and columns.The ORDER of a matrix is the number of the rows and columns.The ENTRIES are the numbers in the matrix.
502
126rows
columns
This order of this matrix This order of this matrix is a 2 x 3.is a 2 x 3.
What is a Matrix?
67237
89511
36402
0759
3410
200
318
20
11
6
0
7
9
What is the order?
To add two matrices, they must have the same order. To add, you simply add corresponding entries.
34
03
12
70
43
35
)3(740
0433
13)2(5
44
40
23
Adding Two Matrices
9245
3108
2335
2571
=
=
232
451
704
831
605
429
2833)2(1
)4(65015
740249
603
1054
325
Subtracting Two Matrices
To subtract two matrices, they must have the same order. You simply subtract corresponding entries.
724
113
810
051
708
342
=
=
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.
)1(4)4(4
)0(4)2(4
14
024
416
08
Multiplying a Matrix by a Scalar
86
54
30
212
)8(360
52412
-2
