According to Lagrange's Theorem, the order of a subgroup \( H \) of a finite group \( G \) is: Select one: A multiple of the order of \( G \) A divisor of the order of \( G \) Not related to the order of \( G \) Equal to the order of \( G \)

1.1) Sea \( F: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2} \) la transformación lineal cuya matriz asociada es: \( M(F)_{B E}=\left(\begin{array}{ccc}-1 & 1 & 0 \\ 2 & 0 & k\end{array}\right) \) siendo \( B=\{(0,1,0),(-1,1,0),(0,0,2)\} \) y \( E \) : base canónica de \( \mathbb{R}^{2} \). 1. Probar que \( F \) es sobreyectiva \( \forall k \in \mathbb{R} \). 2. Obtener el valor de \( k \) para que \( N u(F)=\left\{(x, y, z) \in \mathbb{R}^{3} / 2 x+y=0 \wedge 3 y-z=0\right\} \).

In the Soundex Coding System for encoding last names on a Michigan driver's license, the letter \( t \) is converted to which number? 5 1 2 3

What's the difference between a dinner roll,slider bun and hamburger buns?

What are the weights used to determine if a 13-digit ISBN is valid? \( \begin{array}{l}10,9,8,7, \ldots \\ 7,3,9,7,3,9, \ldots \\ 3,1,3,1, \ldots \\ 1,3,1,3, \ldots\end{array} \)

The Vigenère Cipher is also called a__ cipher. Polyalphabetic Shift