January 2014
Intermediate to advanced
144 pages
4h 2m
English
Content preview from Mathematical Formulas for Industrial and Mechanical Engineering
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Definition If a matrix has m rows and n columns, we call it a matrix of order m by
n. The order of a matrix is also known as the size or dimension of the matrix.
For example, the matrices A 5
123
2115
; B 5
21
3 21
15
2
4
3
5
; and
C 5
1 23
25
are of the orders 2 3 3, 3 3 2, and 2 3 2, respectively.
Definition Two matrices are said to be equal to each other if and only if they are
of the same order and have the same corresponding elements.
3.2 Basic Types of Matrices
1. Row matrix: A matrix having a single row. Example: 1 224
.
2. Column matrix: A matrix having a single column. Example:
21
2
5
2
4
3
5
.
3. Null matrix: A matrix having all elements zero. Example:
00
00 ...
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