16.8: Chapter 9
- Page ID
- 117504
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)9.1 Modifying and iterating lists
- b. The
append()operation adds an element to the end of a list. - c. The element to be removed is passed as a parameter to the remove operation. The remove is performed on the specified list.
- c. Both
pop()andremove()can be used to remove the last element of a list.pop()automatically removes the last element, whereasremove()requires the last element be specified. - a. The length of the list is 5, so the iterative
forloop executes five times. - b.
len(my_list)is 5. A countingforloop ends at 1 less than the second value in the range function, so the final value ofiis4. - a. The
forloop steps by two each time, so index 0, 2, and 4 are printed. Due to the"end="in the print statement, all elements are printed on one line.
9.2 Sorting and reversing lists
- b. Sorting in descending order means to arrange the elements from largest to smallest. -3 is the smallest element of the list and would be the last element when the list is sorted in descending order.
- a. For strings, ascending order refers to dictionary order.
- c. In alphabetical order, "h" comes before "k". The first four characters are the same, so
"flash"comes before"flask". - b. The
sort()function must be applied on the list. The default for thesort()function is to arrange elements in ascending order. - a. The correct syntax for the
reverse()function requires the function to be applied to the list. - a.
"go"is the first element ofboard_games, so"go"would be the last element onceboard_gamesis reversed.
9.3 Common list operations
- a. The
min()function takes a list as a parameter and returns the minimum for the list. - b.
"Austin City Limits"is the first string in dictionary order. - c. The summation of the given floats is
12.4. - c.
list2refers to the same list asmy_list, so any changes made tolist2also reflect onmy_list. 18 is the summation of the values in the list. - a. 3 is the maximum value in the list
my_list. Line 3 changes the value of the first element inlist2. - b.
sum()function is not defined for string values.
9.4 Nested lists
- a. Each row of the matrix is represented as a list in the larger list-of-lists,
matA.matArepresents the complete matrix. - c. 6 is in the 2nd row and 3rd column. Using zero-indexing results in index 1 for the row and 2 for the column.
- c. The first element of the list
matAis a list[7, 4, 5]representing the first row of the matrix. - a. The outer
forloop iterates row by row. The innerforloop iterates through each element in a row. So all the numbers are printed, starting from 7 and ending in -5. - c. The outer
forloop runs for three iterations because there are three elements in the list-of-lists. The innerforloop iterates through each element of each row using the length of each row.
9.5 List comprehensions
- a. The expression tells Python what element to put in the new list.
- c.
i+2results in adding 2 to each element ofa_listto generateb_list. - b. The
forloop starts at 1 and steps by three, so it begins at 1 and ends at 13. Dividing using the//operator results in dropping the part after the decimal. - c. The list comprehension filters for negative numbers in
my_list. - b. The list comprehension selects vowels from the given string.
- a. The
forloop ranges from 0 through 20, stepping by two, but each iterated element is even, so nothing is added tonew_list.


