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Studying for a chapter examination is
a personal process, one which nobody else can do for you.
Simply take the time to review what you have done.
Addition of matrices [16.4]
Addition method [16.1]
Additive inverse [16.4]
Array [16.3]
Associative property [16.4]
Augmented matrix [16.3]
Column [16.3]
Communication matrix [16.4]
Commutative property [16.4]
Constraint [16.5]
Convex set [16.5]
Demand [16.2]
Dependent system [16.1]
Diagonal form [16.3]
Dimension [16.3]
Distributive property [16.4]
Double subscripts [16.3]
Elementary row operations [16.3]
Equal matrices [16.4]
Equilibrium point [16.2]
Equivalent matrices [16.3]
Equivalent systems [16.1]
Feasible solution [16.5]
Gauss-Jordan elimination [16.3]
Graphing method [16.1]
Identity matrix [16.4]
Inconsistent system [16.1]
Inverse matrix [16.4]
Inverse property [16.4]
Linear combination method [16.1]
Linear programming [16.5]
Linear system [16.1]
Main diagonal [16.4]
Matrix [16.3]
Matrix equation [16.3, 16.4]
Multiplication of matrices [16.4]
Multiplicative inverse [16.4]
Nonconformable matrices [16.4]
Nonsingular matrix [16.4]
Objective function [16.5]
Optimum solution [16.5]
Order [16.3]
Pivot [16.3]
Pivot row [16.3]
Pivoting [16.3]
Row [16.3]
Row+ [16.3]
Row-reduced form [16.3]
RowSwap [16.3]
Scalar [16.3]
Scalar multiplication [16.4]
Simultaneous solution [16.1]
Singular matrix [16.4]
Square matrix [16.3]
Subscript [16.3]
Substitution method [16.1]
Subtraction of matrices [16.4]
Superfluous constraint [16.5]
Supply [16.2]
System of equations [16.1]
System of inequalities [16.5]
Target row [16.3]
*Row [16.3]
*Row+ [16.3]
Zero matrix [16.4]
If you can describe the term, read on to the next one;
if you cannot, then look it up in the text (the section
number is shown in brackets).
Can you explain each of these important ideas in your
own words?
Systems of equations (graphing, substitution, and addition)
[16.1]
Four elementary row operations [16.3]
Process of pivoting [16.3]
Gauss-Jordan elimination [16.3]
Matrix operations [16.4]
Properties of matrices [16.4]
Inverse of a matrix [16.4]
Systems of inequalities [16.5]
Linear programming theorem [16.5]
Next, make sure you understand the types of problems
in Chapter 16.
Solve systems of equations by graphing, substitution,
or addition, as directed. [16.1]
Solve systems of equations by selecting the most appropriate
method. [16.1]
Solve applied problems, including coin problems, combining
rates, supply and demand, and mixture problems. [16.2]
Know the relationship between a system of equations and
a corresponding matrix [16.3]
Perform elementary row operations on a given matrix. [16.3]
Solve systems of equations by the Gauss-Jordan method. [16.3]
Carry out matrix operations, including finding the inverse
of a given matrix. [16.4]
Solve a system of equations using the inverse matrix method.
[16.4]
Solve a system of inequalities. [16.5]
Decide whether a given point is a feasible solution for
a set of constraints. [16.5]
Decide whether a given point is a corner point for a set
of constraints. [16.5]
Find the corner points for a set of feasible solutions.
[16.5]
Maximize or minimize an objective function subject to a
set of constraints. [16.5]
Solve applied problems using a linear programming model.
[16.5]
Once again, see if you can verbalize (to yourself) how
to do each of the listed types of problems. Work all of
Chapter 16 Review Questions (whether they are assigned
or not).
Work through all of the problems before looking at the
answers, and then correct each of the problems. The entire
solution is shown in the answer section at the back of the
text. If you worked the problem correctly, move on to the
next problem, but if you did not work it correctly (or you
did not know what to do), look back in the chapter to study
the procedure, or ask your instructor. Finally, go back
over the homework problems you have been assigned. If you
worked a problem correctly, move on the next problem, but
if you missed it on your homework, then you should look
back in the book or talk to your instructor about how to
work the problem. If you follow these steps, you should
be successful with your review of this chapter.
We give all of the answers to the Chapter Review questions
(not just the odd-numbered questions), so be sure to check
your work with the answers as you prepare for an examination.
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