Int Alg 2
(4.3) Determinants and Area of any Triangle
Associated with each square matrix is a real number called it determinant. The determinant of a
matrix A is denoted by detA or by |A|.
Example 1: Evaluating Determinants
(4.1) Matrix Operations
A matrix is a rectangular arrangement of number in _ and _. For
instance, matrix A below has two rows and three columns. The dimensions of this
matrix are _. The numbers in a matrix are its entries.
(3.3) Graphing and Solving Systems of Linear Inequalities
The following is a system of linear inequalities in two variables
2x y > 4
A solution of a system of linear inequalities is an ordered pair that is a solution of
each inequality in the system.
(3.2) Solving Linear Systems Algebraically
In this lesson you will study two algebraically methods for solving linear systems. The
first method is called substitution.
The Substitution Method
Step 1: Solve one of the equations for one variable
Step 2: Sub
Another method for solving linear systems is the linear combination method.
The Linear Combination Method
Step 1 Multiply one or both of the equations by a constant to obtain coefficients that
differ only in sign for one of the variables
Step 2 Add the re
(3.1) Solving Linear Systems by Graphing
A system of two linear equations in two variables x and y consists of two equations of the
of a system of linear equations in two variables is on ordered
pair (x, y) that sat
(2.6) Linear Inequalities in Two Variables
A linear inequality in two variables is an inequality that can be written in one of the
An ordered pair (x,y) is a solution of a linear inequality if the inequalit
(2.5) Correlations and Best-Fitting Lines
A scatter plot is a graph used to determine whether there is a relationship between
paired data. In many real life situations, scatter plots follows patterns that are
(2.4) Writing Equations of Lines
In 2.3 you learned to find the slope and y-intercept of a line whose equation is given.
In this lesson you will study the reverse process.
Writing an Equation of a Line
(2.3) Quick Graphs of Linear Equations
In lesson 2.1 you graphed a linear equation by creating a table of values, plotting the
corresponding points, and drawing a line through the points. In this lesson you will
study two q
(2.2) Slope and Rate of Change
The slope of a line is the ratio of the vertical change over the horizontal change. We
also refer to this as _ over _. The slope of a line is represented by the
Slope of a Line
(2.1) Functions and Their Graphs
A relation is a _
_. The set of input values is called the _,
and the set of output values is called the _. A relation is a function if
there is exactly _. It is not a function if
at least o
Int. Alg. 2
(1.6) Solving Linear Inequalities
Inequalities have properties that are similar to those of equations, but the properties
differ in some important ways.
Inequalities such as x 1 and 2n 3 > 9 are examples of _
in one varia