Linear Algebra: Theory and Applications
Second Edition
Ward Cheney & David Kincaid
Jones and Bartlett Learning
Errata List
CHAPTER 1
Section 1.1
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Page 11, Line 9, Before rightmost displayed matrix:
$\frac12$ should be $\frac13$
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Page 13, Example 6, Solution:
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After 1st displayed system, add:
after multiplying the last equation by 7.
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In first equation, rhs, of 2nd displayed system, replace
"21" with "63".
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In first row of next to last displayed matrix, entry (1,3),
replace "21" with "63".
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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
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Section 1.3
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CHAPTER 2
Section 2.1
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Page 89, Line-7, 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: $3=4-2t$
- Page 116, Line -1, above EXAMPLE 3, should read: $t=-5$
- Page 118, EXAMPLE 5, SOLUTION, Line2, should read:
We obtain ${\bf v}= ... =-frac14{\bf z}$
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Page 124, Line 2, Insert "row" (twice) to read:
get a row echelon form, and continue to the reduced row echelon form
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Page 124, Line above middle displayed equations, Insert "row to read:
reduced row echelon form is
- Page 128, EXAMPLE 11, SOLUTION, Line 1-2, 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
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Section 2.4
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CHAPTER 3
Section 3.1
- Page 192, Lines 4 and 7:
Use larger dot-product symbol to match one used in footnote on p. 91:
$\bu\smbullet\bv = \cdots$ defined by
$\def\smbullet{\mathop{\raise.2ex\hbox{$\scriptscriptstyle\bullet$}}}
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Page 192, Line 11:
Add dot-product to displayed equation:
$(\bA\bB)_{ij}=\br_i\bb_j=\br^T_i\smbullet\bb_j$
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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 $\bB$:
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Page 193, SOLUTION, Line 2:
Omit "dot" to read:
question. We simply compute the product of row 2 in $\bA$ with column 4 ...
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Page 198, Line -10:
Insert "-Matrix" in subheading to read:
Non-conommutative of Matrix-Matrix Multiplication
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Page 198, Line -9:
Inset "-matrix" to read:
Now we come to the question of commutativity of matrix-matrix multiplication
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Page 199, CAUTION, Line 1:
Replace "Matrix" with "Matrix-matrix" to read:
Matrix-matrix multiplication is not communative: that is, in general, one musts
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Page 199, Line -1, Below CAUTION:
Insert "-Matrix" in subheading to read:
Associativity Law for Matrix-Matrix Multiplication
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Page 199, CAUTION, Line -2:
Insert "-matrix" to read:
What can be said about associativity of matrix-matrix multiplication? Here the
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Page 199, THEOREM 8, Line 1:
Insert "-matrix" to read:
Matrix-matrix mulitiplicatin is associative. Thus, if the products exist,
we have
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Page 200, Line 1:
Inset "-matrix" to read:
An example of the associative law for matrix-matrix multiplicatin is
given here:
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Page 200, subheading "Linear Transformations", Line 1:
Insert "-matrix" to read:
The next theorem shows why matrix-matrix multiplicatin is defined in the manner explained in Section 1.3.
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Page 200, PROOF, Line 1:
Inset "-matrix" to read:
We use the associativity of matrix-matrix multiplication in this quick
calculaiton:
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Page 200, Line -2: insert "matrix-" to read:
Now associativity of matrix-matrix multiplication is ...
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Page 203, EXAMPLE 11, Line 1: replace "matrix" by "matrix-matrix" to
read:
Use the preceding definition of matrix-matrix multiplication to
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Page 208, EXAMPLE 13, SOLUTION, Line 9: Insert "row" to read:
The reduced row echelon form of this matrix is
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Page 208, Line -1:
Insert "-matrix" to read:
Thus, the factors in matrix-matrix multiplication do not commute, in general.
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Page 210, At bottom of left column,
Lines -2 and -1 above KEY CONCEPTS 3.1, should read:
... (Matrix-matrix multiplication is usually \textsl{not} commutative.)
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Page 210, At top of right column, Lines 1 and 2, should read:
... (Matrix-matrix multiplication is associative.)
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Page 210, At middle of right column below Cautions, Lines 1 and 2, should read:
... Factors in matrix-matrix 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 $x_3=-12$.
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Page 234, Table, MATLAB column, line 4, should read:
B = inv(A)
CHAPTER 4
Section 4.1
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Section 4.2
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Page 280, In equation above EXAMPLE 13: Replace $n$ by 4 (three times)
CHAPTER 5
Section 5.1
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Section 5.2
- Page 315, Line 3, Insert "row" to read:
the preceding matrix, ending at the reduced row echelon form:
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Page 323, EXAMPLE 13, SOLUTION: Line 2, Insert "row" to read:
the same row space. The row-reduction process yields this reduced row
echelon matrix
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Page 326, EXAMPLE 17, SOLUTION: Line 1, Insert "row" to read:
SOLUTION We create this matrix and transform it to reduced row echelon
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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 ....
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Page 334, Caution, Line 1:
Insert "row" to read:
... is the reduced row echelon form of ...
Section 5.3
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Page 342, EXAMPLE 1, SOLUTION, Line 2, Insert "row" to read:
reduced row echelon form:
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Page 354, Line 7, insert "row" to read"
it to reduced row echelon form, we have
CHAPTER 8
Section 8.1
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Section 8.2
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Section 8.3
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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