QUESTION 35 The Latin phrase "ceteris paribus" means a. that one event causes another. b. that one event is associated with, but not caused by, another. c. that other potential causes are assumed to remain constant. d. the way things should be.

\begin{tabular}{l} Simplify: \\ \( (4-3 i)^{2} \) \\ A. \( 7-24 i \) \\ B. \( 8-6 i \) \\ C. \( 16+9 i \) \\ D. \( 25-24 i \) \\ \hline\end{tabular}

You are a strategy consultant who has recently been engaged by a tertiary institution which is on the verge of rolling out a new, innovative and disruptive strategy. Practica advise the institution on the factors they should put in place to ensure that their new strategy is implemented successfully

What is the multiplier for calculating a 45 degree offset when conduit is being bent?

Diketahui \( A=\left[\begin{array}{ccc}0 & 0 & -2 \\ 1 & 2 & 1 \\ 1 & 0 & 3\end{array}\right] \). Tentukan nilai cigen dati matriks \( A \) dan basis untuk m ang eigen !

Sea \( a \in \mathbb{R} \) y consideremos el subconjunto \( S=\left\{\left(1,1,2, a^{2}\right),(1,1-a, 2,0),(2,2-a, 6-a, 4)\right\} \) de \( \mathbb{R}^{4} \). Denotemos por \( U \) al subespacio generado por \( S \) en \( \mathbb{R}^{4} \). Señale todas las proposiciones verdaderas: \( \square \) a. El conjunto de vectores \( S \) es linealmente independiente para todo \( a \in \mathbb{R} \). b. Si \( a=0 \) entonces el conjunto de vectores \( S \) es linealmente dependiente. \( \square \) c. Si \( a=1 \) entonces el conjunto de vectores \( S \) es linealmente dependiente. \( \square \) d. Si \( a=-1 \) entonces el conjunto de vectores \( S \) es linealmente dependiente. e. Si \( a=0 \), la dimensión de \( U \) es \( \mathbf{1} \). f. Si \( a=2 \), la dimensión de \( U \) es 2. g. Si \( a=1 \), la dimensión de \( U \) es 3 .