In un'isola, ciascun abitante può essere un cavaliere, che dice sempre il vero, oppure un furfante, che mente sempre, oppure un paggio, libero di mentire o dire il vero. Per le leggi dell'isola, se più di 5 persone si riuniscono, fra loro dev'esserci almeno un cavaliere. Un giorno, 11 abitanti sono disposti in cerchio ed ognuno esclama: "Vicino a me ci sono un cavaliere ed un furfante". Quanti sono, come minimo, i paggi tra le 11 persone in cerchio?

12 is a quadratic residue modulo 13 . True False

2 is a quadratic residue modulo 5

1. What can you infer about the global impact of COVID-19 based on the number of infections and deaths mentioned in the article? 2. How did the roles of first responders and essential workers contribute to communities during the pandemic?

Hausaufgabe 23: (Inverse einer Matrix) a) Berechnen Sie die Inverse der Matrix \[ A=\left(\begin{array}{ccc}0 & -3 & -2 \\ 1 & -4 & -2 \\ -3 & 4 & 1\end{array}\right), \] indem Sie die Matrix \( A^{-1} \) in allgemeiner Form ansetzen und ihre unbekannten Matrix- elemente über die Forderung \( A A^{-1}=\mathbf{1}_{3} \) ermitteln. b) Prüfen Sie Ihr Ergebnis aus a), indem Sie das Matrixprodukt \( A A^{-1} \) ausführen. (Die Be- rechnungen der Einträge in der 1. Spalte von \( A A^{-1} \) sind dabei detailliert aufzuschreiben.)

Activity 4.3 .1 - Write a Summary "Japanese Internment Camp Locations" By Rebecca K. Sharp "Beginning in May 1942, the War Department transferred the Japanese Americans to 10 War Relocation Authority (WRA) relocation centers: Central Utah (Utah), Colorado River (Arizona), Gila River (Arizona), Granada (Colorado), Heart Mountain (Wyoming), Jerome (Arkansas), Manzanar (California), Minidoka (Idaho), Rohwer (Arkansas), and Tule Lake (California). Under guard and surrounded by barbed-wire fences, the internees lived in cramped barracks sharing communal toilets, showers, and mess halls. Privacy was nonexistent. The relocation centers mirrored small communities with churches, hospitals, libraries, post offices, and schools. The WRA allowed some internees to leave for temporary seasonal agricultural work. Others attended college, served in the military, or obtained outside employment. Some of the internees remained in the WRA relocation centers until they closed in 1946."