Reflections of functions

zipgrade.com/student/portal/paper/wqqqvtAuyK.pa.873873c00c30300-0a66b401-401d8-8f44e587-587df097473097473e/questions/\newline\begin{tabular}{|c|c|c|c|c|}\newline\hline 11 & U & v & 11 / pts & L \\\newline\hline 22 & B & B & 1/1pts 1 / 1 \mathrm{pts} & C \\\newline\hline 33 & A & A & 1/1 1 / 1 pts & C \\\newline\hline 44 & A A &  A \mathrm{~A} & 1/1 1 / 1 pts & C \\\newline\hline 55 & C C & C C & 1/1 1 / 1 pts & C \\\newline\hline 66 & A & A & 1/1 1 / 1 pts & C \\\newline\hline 77 & D D & D D & 1/1 1 / 1 pts & C \\\newline\hline 88 & B & B & 1/1 1 / 1 pts & C \\\newline\hline 99 & A & B & 1/1 1 / 1 33 pts & 1/1 1 / 1 44 \\\newline\hline 1010 & A & 1/1 1 / 1 55 & 1/1 1 / 1 pts & C \\\newline\hline 1111 & C C & C C & 1/1 1 / 1 pts & C \\\newline\hline 1212 & B & A A 00 & 1/1 1 / 1 pts & C \\\newline\hline 1313 & C C & C C & 1/1 1 / 1 pts & C \\\newline\hline 1414 & C C & C C & 1/1pts 1 / 1 \mathrm{pts} & C \\\newline\hline 1515 & B & A A 00 & 1/1 1 / 1 pts & C \\\newline\hline 1616 &  A \mathrm{~A} &  A \mathrm{~A} & 1/1 1 / 1 pts & C \\\newline\hline\newline\end{tabular}\newline1818. Which is not a formula for the degree of freedom?\newline1919. For a two-tailed test, what is the correct tabular value to use if an unpooled  A \mathrm{~A} 33-test will be implemented?\newline\begin{tabular}{|l|l|l|l|}\newline\hline A.  A \mathrm{~A} 44 & B.  A \mathrm{~A} 55 & C.  A \mathrm{~A} 66 & D.  A \mathrm{~A} 77 \\\newline\hline\newline\end{tabular}\newline2020. Which is the correct formula to use in looking for the test statistic with known equal population variances?\newline\begin{tabular}{|l|l|}\newline\hline A.  A \mathrm{~A} 88 & C.  A \mathrm{~A} 99 \\\newline\hline B. 1/1 1 / 1 00 & D. 1/1 1 / 1 11 \\\newline\hline\newline\end{tabular}\newline2121. Which is the correct formula to use in looking for the test statistic with unknown and unequal population variances?\newline\begin{tabular}{|l|l|}\newline\hline A.  A \mathrm{~A} 88 & C. 1/1 1 / 1 11 \\\newline\hline B. 1/1 1 / 1 44 & D. 1/1 1 / 1 55 \\\newline\hline\newline\end{tabular}\newline2626. Which is the most appropriate statistical test to test the hypothesis:
Get tutor helpright-arrow
Sok\newlineMATH22502250S2424PS55.p...\newlineRaney\newlineLinear Algebra\newlineSpring 20242024\newlineProblem Set 55\newline11. Show that x=[211] \mathbf{x}=\left[\begin{array}{c}-2 \\ 1 \\ 1\end{array}\right] is an eigenvector of A=[011111120] A=\left[\begin{array}{ccc}0 & 1 & -1 \\ 1 & 1 & 1 \\ 1 & 2 & 0\end{array}\right] and find the corresponding eigenvalue.\newline22. Show that λ=i=1 \lambda=i=\sqrt{-1} is an eigenvalue of A=[0110] A=\left[\begin{array}{cc}0 & -1 \\ 1 & 0\end{array}\right] , and find a corresponding eigenvector.\newline33. Let A=[2460] A=\left[\begin{array}{ll}2 & 4 \\ 6 & 0\end{array}\right] . Find the eigenvalues of A A and bases for the corresponding eigenspaces.\newline44. Let A A be an idempotent matrix (that is, A2=A A^{2}=A ). Show that λ=0 \lambda=0 and λ=1 \lambda=1 are the only possible eigenvalues of A A .\newline55. Let A=[011111120] A=\left[\begin{array}{ccc}0 & 1 & -1 \\ 1 & 1 & 1 \\ 1 & 2 & 0\end{array}\right] 11 be the linear transformation defined by\newlineT(p(x))=xp(x) T(p(x))=x p^{\prime}(x) \newline(a) Which, if any, of the polynomials\newlinep1(x)=1,p2(x)=x,p3(x)=x2 p_{1}(x)=1, p_{2}(x)=x, p_{3}(x)=x^{2} \newlineare in A=[011111120] A=\left[\begin{array}{ccc}0 & 1 & -1 \\ 1 & 1 & 1 \\ 1 & 2 & 0\end{array}\right] 22 ?\newline(b) Which, if any, of the polynomials\newlinep1(x)=1,p2(x)=x,p3(x)=x2 p_{1}(x)=1, p_{2}(x)=x, p_{3}(x)=x^{2} \newlineare in A=[011111120] A=\left[\begin{array}{ccc}0 & 1 & -1 \\ 1 & 1 & 1 \\ 1 & 2 & 0\end{array}\right] 33 ?\newline66. Find the dimension of the vector space A=[011111120] A=\left[\begin{array}{ccc}0 & 1 & -1 \\ 1 & 1 & 1 \\ 1 & 2 & 0\end{array}\right] 44 and give a basis for A=[011111120] A=\left[\begin{array}{ccc}0 & 1 & -1 \\ 1 & 1 & 1 \\ 1 & 2 & 0\end{array}\right] 55.\newline77. Define a linear transformation A=[011111120] A=\left[\begin{array}{ccc}0 & 1 & -1 \\ 1 & 1 & 1 \\ 1 & 2 & 0\end{array}\right] 66 by\newlineT(A)=ABBA T(A)=A B-B A \newlinewhere A=[011111120] A=\left[\begin{array}{ccc}0 & 1 & -1 \\ 1 & 1 & 1 \\ 1 & 2 & 0\end{array}\right] 77. Find a basis for A=[011111120] A=\left[\begin{array}{ccc}0 & 1 & -1 \\ 1 & 1 & 1 \\ 1 & 2 & 0\end{array}\right] 22.\newline(D)\newlineDashboard\newlineCalendar\newlineA=[011111120] A=\left[\begin{array}{ccc}0 & 1 & -1 \\ 1 & 1 & 1 \\ 1 & 2 & 0\end{array}\right] 99\newlineTo-do\newlineNotifications\newlineλ=i=1 \lambda=i=\sqrt{-1} 00\newlineInbox
Get tutor helpright-arrow