Module 4 Matrices
Overview of matrices: rectangular arrays of numbers, defining rows/columns and entries. Covers dimensions (m×n), locating entries, types (square, row, column matrices), and using matrices for computations (e.g., soccer equipment costs).
Daniel Miller
Contributor
4.0
40
19 days ago
Preview (5 of 15)
Sign in to access the full document!
Finite M a t h
M o d u l e 4: Matrices
Reading: Matricesand Matrix Operations
Two club soccer teams, the Wildcats and the M u d Cats, are hoping to obtain new equipment for an upcoming season.
Table 1 shows the needs of both teams.
Table 1
W i l d c a t s M u d Cats
Goals 6 10
Balls 30 24
Jerseys 14 20
A goal costs $300; a ball costs $10; and a jersey costs $30. How can we find the total cost for the equipment needed for each team? In this
section, we discover a method i n which the data i n the soccer equipment table can b e displayed and used for calculating other information.
Then, we will b e able to calculate the cost o f the equipment.
Finding the Sum and Difference of Two Matrices
To solve a problem like the one described for the soccer teams, we can use a matrix, which is a rectangular array of numbers. A r o w in a matrix is
a set of numbers that are aligned horizontally. A column i n a matrix is a set o f numbers that are aligned vertically. Each number is an entry,
sometimes called an element, of the matrix. Matrices (plural) are enclosed i n [ ] or ( ) , and are usually named with capital letters. For example,
three matrices named and are shown below.
A=\matrix{{1}&{2}\\{3}&{4}}
\displaystyleB = \begin{bmatrix}{1}&{2}&{7}\\{0}&{5}&{6}\\{7}&{8}&{2}\end{bmatrix}
\displaystyleC = \begin{bmatrix}{1}&{3}\\{0}&{2}\\{3} & {1}\end{bmatrix}
Describing Matrices
A matrix is often referred to by its size or dimensions:
m x n indicating m rows and n columns. Matrix entries are defined first by row and then by column. For example, to locate the entry i n matrix A
identified as ay we look for the entry in rowj column In the matrix shown below, the entry in row 2, column 3 is a2 3 =
a_ll
a_21
a_31
a_12
a_22
a_32
a_13"
a_23
a_33
M o d u l e 4: Matrices
Reading: Matricesand Matrix Operations
Two club soccer teams, the Wildcats and the M u d Cats, are hoping to obtain new equipment for an upcoming season.
Table 1 shows the needs of both teams.
Table 1
W i l d c a t s M u d Cats
Goals 6 10
Balls 30 24
Jerseys 14 20
A goal costs $300; a ball costs $10; and a jersey costs $30. How can we find the total cost for the equipment needed for each team? In this
section, we discover a method i n which the data i n the soccer equipment table can b e displayed and used for calculating other information.
Then, we will b e able to calculate the cost o f the equipment.
Finding the Sum and Difference of Two Matrices
To solve a problem like the one described for the soccer teams, we can use a matrix, which is a rectangular array of numbers. A r o w in a matrix is
a set of numbers that are aligned horizontally. A column i n a matrix is a set o f numbers that are aligned vertically. Each number is an entry,
sometimes called an element, of the matrix. Matrices (plural) are enclosed i n [ ] or ( ) , and are usually named with capital letters. For example,
three matrices named and are shown below.
A=\matrix{{1}&{2}\\{3}&{4}}
\displaystyleB = \begin{bmatrix}{1}&{2}&{7}\\{0}&{5}&{6}\\{7}&{8}&{2}\end{bmatrix}
\displaystyleC = \begin{bmatrix}{1}&{3}\\{0}&{2}\\{3} & {1}\end{bmatrix}
Describing Matrices
A matrix is often referred to by its size or dimensions:
m x n indicating m rows and n columns. Matrix entries are defined first by row and then by column. For example, to locate the entry i n matrix A
identified as ay we look for the entry in rowj column In the matrix shown below, the entry in row 2, column 3 is a2 3 =
a_ll
a_21
a_31
a_12
a_22
a_32
a_13"
a_23
a_33
Preview Mode
Sign in to access the full document!
100%
Study Now!
XY-Copilot AI
Unlimited Access
Secure Payment
Instant Access
24/7 Support
Document Chat
Document Details
Subject
Mathematics