## 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, 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 ${\bf v}= ... =-frac14{\bf z}$
• 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 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

• Section 2.4

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$}}} • Page 192, Line 11: Add dot-product to displayed equation:$(\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: Non-conommutative of Matrix-Matrix Multiplication • Page 198, Line -9: Inset "-matrix" to read: Now we come to the question of commutativity of matrix-matrix multiplication • Page 199, CAUTION, Line 1: Replace "Matrix" with "Matrix-matrix" to read: Matrix-matrix 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 Matrix-Matrix Multiplication • Page 199, CAUTION, Line -2: Insert "-matrix" to read: What can be said about associativity of matrix-matrix multiplication? Here the • Page 199, THEOREM 8, Line 1: Insert "-matrix" to read: Matrix-matrix 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 matrix-matrix multiplicatin is given here: • 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. • Page 200, PROOF, Line 1: Inset "-matrix" to read: We use the associativity of matrix-matrix multiplication in this quick calculaiton: • Page 200, Line -2: insert "matrix-" to read: Now associativity of matrix-matrix multiplication is ... • Page 203, EXAMPLE 11, Line 1: replace "matrix" by "matrix-matrix" to read: Use the preceding definition of matrix-matrix 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 matrix-matrix multiplication do not commute, in general. • 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.) • Page 210, At top of right column, Lines 1 and 2, should read: ... (Matrix-matrix multiplication is associative.) • 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$. • Page 234, Table, MATLAB column, line 4, should read: B = inv(A) CHAPTER 4 Section 4.1 • Section 4.2 • Page 280, In equation above EXAMPLE 13: Replace$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 row-reduction 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 6
Section 6.1

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

• None reported so far ...

## 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

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 19 July 2012