1. An engineer drawing states that a certain part has the following length: \( \begin{array}{l}4.4 \\ 4.0 \\ \mathrm{~mm}\end{array} \) Express the nominal value, tolerance and uncertainty for this measurement. ( 3 marks) nominal value: tolerance: uncertainty:

Find the topology generated in \( R \) by the class of all closed sub-intervals of the type \( [a, a+11 \). ( 4 Marks)

Problema A.1. Dadas las matrices cuadradas \[ I=\left(\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right) \quad \text { y } \quad A=\left(\begin{array}{rrr}2 & 1 & 1 \\ 2 & 3 & 2 \\ -3 & -3 & -2\end{array}\right) \text {, } \] se pide: a) Calcular las matrices \( (A-I)^{2} \) y \( A(A-2 I) \). (4 puntos). b) Justificar razonadamente que b.1) Existen las matrices inversas de las matrices \( A \) y \( A-2 I .(2 \) puntos). b.2) No existe matriz inversa de la matriz \( A-I \). (2 puntos). c) Determinar el valor del parámetro real \( \lambda \) para el que se verifica \( A^{-1}=\lambda(A-2 I) \quad(2 \) punt

Topological space. Let \( X=\{a, b, c, d, e\} \) and \( T=\{\phi, X,(a),\{b\},\{a, b\},(c),(a, b, c),\{a, c),\{b, c)\} \), Let \( E=(a, b \) (s). Find the closure and interior of \( E \)

One aspect of digital transformation is adopting Artificial Intelligence (AI) in business processes. However, AI is not without problems. Discuss ANY THREE (3) organisational risks as well as ANY TWO (2) customer risks associated with AI.

Aufgabe 3: Wie schreiben Sie als \( 1 \times 10^{\text {n }} \) die folgenden Begriffe? Nennen Sie je ein praktisches Beispiel (Abkürzung der Einheiten) ( 6 Punkte) Dezi, Mili, Mikro, Hekto, Kilo und Giga