December 2020
Intermediate to advanced
1064 pages
49h 43m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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8.1 Matrix Algebra
INTRODUCTION
In the last section of Chapter 7 we saw that a vector in Rn is an ordered n-tuple (x1, x2, . . ., xn). Vectors are also written as a horizontal or vertical array with no commas:
(1)
Each array in (1) is called a matrix. Our objective in this section is to consider the algebra of such arrays.
A Definition
The arrays in (1) are just special cases of (2) in the definition that follows.
DEFINITION 8.1.1 Matrix
A matrix is any rectangular array of numbers or functions:
(2)
The numbers or functions in the array ...