Linear Algebra: Theory and Applications
Second Edition
Ward Cheney & David Kincaid
Jones and Bartlett Learning
Errata List
CHAPTER 1
Section 1.1

Page 11, Line 9, Before rightmost displayed matrix:
$\frac12$ should be $\frac13$

Page 13, Example 6, Solution:

After 1st displayed system, add:
after multiplying the last equation by 7.

In first equation, rhs, of 2nd displayed system, replace
"21" with "63".

In first row of next to last displayed matrix, entry (1,3),
replace "21" with "63".

Page 15, in subsection \textbf{Elementary Row Opertions}, reword first
two lines to read:
Next on our agenda is more on the second \textbf{elementary row operation}:
\textbf{2.} Multiplation of a row by a nonzero scalar.
Section 1.2

Section 1.3

CHAPTER 2
Section 2.1

Page 89, Line7, Should read:
This operation is called {\bf multiplication of a vector by a scalar}.
Section 2.2
 Page 115, Example 2 should read Line 2:
$(4,3)+t(2,21)$
 Page 115, Example 2, Solution should read
Line 1: $(3,7)=(4,3)+t(2,21)$ and
Line 3: $3=42t$
 Page 116, Line 1, above EXAMPLE 3, should read: $t=5$
 Page 118, EXAMPLE 5, SOLUTION, Line2, should read:
We obtain ${\bf v}= ... =frac14{\bf z}$

Page 124, Line 2, Insert "row" (twice) to read:
get a row echelon form, and continue to the reduced row echelon form

Page 124, Line above middle displayed equations, Insert "row to read:
reduced row echelon form is
 Page 128, EXAMPLE 11, SOLUTION, Line 12, should read:
SOLUTION To use the formulas presented earlier, we must
compute $a_{11}=285$, $a_{12}=45$, $b_1=284.84$, $b_2=58.21$,
$n=9$, $a=0.1035$, and $b= 6.9853$.
Section 2.3

Section 2.4

CHAPTER 3
Section 3.1
 Page 192, Lines 4 and 7:
Use larger dotproduct symbol to match one used in footnote on p. 91:
$\bu\smbullet\bv = \cdots$ defined by
$\def\smbullet{\mathop{\raise.2ex\hbox{$\scriptscriptstyle\bullet$}}}

Page 192, Line 11:
Add dotproduct to displayed equation:
$(\bA\bB)_{ij}=\br_i\bb_j=\br^T_i\smbullet\bb_j$

Page 192, Theorem 1, Line 2:
Omit "dot" to read:
summation notation or as the product of row $i$ in $\bA$ with column $j$ in $\bB$:

Page 193, SOLUTION, Line 2:
Omit "dot" to read:
question. We simply compute the product of row 2 in $\bA$ with column 4 ...

Page 198, Line 10:
Insert "Matrix" in subheading to read:
Nonconommutative of MatrixMatrix Multiplication

Page 198, Line 9:
Inset "matrix" to read:
Now we come to the question of commutativity of matrixmatrix multiplication

Page 199, CAUTION, Line 1:
Replace "Matrix" with "Matrixmatrix" to read:
Matrixmatrix multiplication is not communative: that is, in general, one musts

Page 199, Line 1, Below CAUTION:
Insert "Matrix" in subheading to read:
Associativity Law for MatrixMatrix Multiplication

Page 199, CAUTION, Line 2:
Insert "matrix" to read:
What can be said about associativity of matrixmatrix multiplication? Here the

Page 199, THEOREM 8, Line 1:
Insert "matrix" to read:
Matrixmatrix mulitiplicatin is associative. Thus, if the products exist,
we have

Page 200, Line 1:
Inset "matrix" to read:
An example of the associative law for matrixmatrix multiplicatin is
given here:

Page 200, subheading "Linear Transformations", Line 1:
Insert "matrix" to read:
The next theorem shows why matrixmatrix multiplicatin is defined in the manner explained in Section 1.3.

Page 200, PROOF, Line 1:
Inset "matrix" to read:
We use the associativity of matrixmatrix multiplication in this quick
calculaiton:

Page 200, Line 2: insert "matrix" to read:
Now associativity of matrixmatrix multiplication is ...

Page 203, EXAMPLE 11, Line 1: replace "matrix" by "matrixmatrix" to
read:
Use the preceding definition of matrixmatrix multiplication to

Page 208, EXAMPLE 13, SOLUTION, Line 9: Insert "row" to read:
The reduced row echelon form of this matrix is

Page 208, Line 1:
Insert "matrix" to read:
Thus, the factors in matrixmatrix multiplication do not commute, in general.

Page 210, At bottom of left column,
Lines 2 and 1 above KEY CONCEPTS 3.1, should read:
... (Matrixmatrix multiplication is usually \textsl{not} commutative.)

Page 210, At top of right column, Lines 1 and 2, should read:
... (Matrixmatrix multiplication is associative.)

Page 210, At middle of right column below Cautions, Lines 1 and 2, should read:
... Factors in matrixmatrix multiplication do \textsl{not} commute, in general.
Section 3.2
 Page 221, Example 5, Solution, last line should read:
obtained in Example 3 arises by taking $x_3=12$.

Page 234, Table, MATLAB column, line 4, should read:
B = inv(A)
CHAPTER 4
Section 4.1

Section 4.2

Page 280, In equation above EXAMPLE 13: Replace $n$ by 4 (three times)
CHAPTER 5
Section 5.1

Section 5.2
 Page 315, Line 3, Insert "row" to read:
the preceding matrix, ending at the reduced row echelon form:

Page 323, EXAMPLE 13, SOLUTION: Line 2, Insert "row" to read:
the same row space. The rowreduction process yields this reduced row
echelon matrix

Page 326, EXAMPLE 17, SOLUTION: Line 1, Insert "row" to read:
SOLUTION We create this matrix and transform it to reduced row echelon

Page 330, EXAMPLE 20, Line 1, Insert "row" to read:
... be its reduced row echelon form.
 Page 333, EXAMPLE 23, SOLUTION, Line 6, Insert "row" to read:
The reduced row echelon form reveals that in solving the equation ....

Page 334, Caution, Line 1:
Insert "row" to read:
... is the reduced row echelon form of ...
Section 5.3

Page 342, EXAMPLE 1, SOLUTION, Line 2, Insert "row" to read:
reduced row echelon form:

Page 354, Line 7, insert "row" to read"
it to reduced row echelon form, we have
CHAPTER 8
Section 8.1

Section 8.2

Section 8.3

Student Resource Manual to Accompany
Linear Algebra: Theory and Applications
2nd Edition
Ward Cheney & David Kincaid
Errata List
Instructor Resource Manual to Accompany
Linear Algebra: Theory and Applications
2nd Edition
Ward Cheney & David Kincaid
Errata List

Acknowledgement: page 4, should read "Saudi Arabia"
Acknowledgements:
We welcome comments and suggestions concerning either the textbook or solution
manuals. Send email to
kincaid@cs.utexas.edu .
We are grateful to the following individuals and others who have
send us email concerning typos and errors in the textbook and/or
solution manuals:
Chui Chen
27 Sept 2013