Intermediate Algebra Chapter 7 Portfolio Outline
Rationale
Writing in mathematics can improve procedural knowledge and communication skills and may also
help students better understand and then remember problems.
I believe you can meet and exceed these
7.3 Inverses of Matrices
Intermediate Algebra
What are the inverse matrices?
2 x 2 matrices M and N are inverse matrices if and only if their product is the 2 x 2
identity matrix for multiplication, that is, if and only if:
MN = NM =
Example:
1 0
0 1
5 0
7.2 Operations w/ Matrices Day 3
Intermediate Algebra
Amatrixisbasicallyaboxofinformationwhereyoukeeptrackofvaluesinrows
andcolumns.Then,computationscanbedonefasterusingthetechniquesweve
practiced in this section. (And especially when you use a calculator
Name_
Intermediate Algebra: $10,000 Challenge Worksheet
SHOW YOUR WORK!
1) Find the value of a $5000 investment that earns 7.5% annually after
30 years.
2) On the day your first child is born you have decided that you will
invest $1000 in a growth mutual
7.1 Matrices and Systems of Equations
Intermediate Algebra
Matrix: A rectangular array of numbers. An m x n matrix has m rows and n
columns.
A matrix is said to be of order m x n.
General Matrix:
Ex. 1 Determine the order of each matrix.
a) [
]
b) [
]
c)
Example 6: Solve for X in the equation 3X + A = B, where
A=
1 2
0 3
B=
3 4
2 1
7.2 Operations w/Matrices Day 2
Intermediate Algebra
Identity Matrices: 1 x 1, 2 x 2, 3 x 3, 4 x 4
Theyarematriceswhichwhenmultipliedbyanothermatrix,doesntchangethe
matrix. (Li
7.1 Matrices and Systems of Equations
Intermediate Algebra
Matrix: A rectangular array of numbers. An m x n matrix has m rows and n
columns.
A matrix is said to be of order m x n.
General Matrix:
Ex. 1 Determine the order of each matrix.
1 2 3
a)
1 0 5
1
The $10,000 Challenge!
Intermediate Algebra
Day 2:
1. The rule of 72 says that the amount of time required for an investment to double is found by dividing 72 by
the annual interest rate. Use the rule of 72 to calculate the growth of $10,000 at the given
The $10,000 Challenge!
Intermediate Algebra
Day 1:
Each group will be assigned one type of investment. Your task is to research this
type and prepare a 2-3 minute explanation which you will use to teach the class
what it is. (Everyone in the group must sa
The $10,000 Challenge!
Intermediate Algebra
Day 2:
1. The rule of 72 says that the amount of time required for an investment to double is found by dividing 72 by
the annual interest rate. Use the rule of 72 to calculate the growth of $10,000 at the given
7.2 Operations w/Matrices Day 1
Intermediate Algebra
Equality: In order for matrices to be equal, they must have the same
_ with identical _ .
Sizes of matrices are m rows x n columns.
Example 1: What are the dimensions of the following matrices?
1 2 3
1
The $10,000 Challenge!
Intermediate Algebra
Day 1:
Each group will be assigned one type of investment. Your task is to research this
type and prepare a 2-3 minute explanation which you will use to teach the class
what it is. (Everyone in the group must sa