Problema: Sea \( T: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2} \) una transformación lineal definida por: \[ T(x, y, z)=(x+2 y-z, 3 x+y) \] a) Encuentre una base para el núcleo de \( T, N(T) \). b) Encuentre una base para la imagen de \( T, \operatorname{Im}(T) \). c) ¿Es \( T \) inyectiva? ¿Es sobreyectiva? Justifica tu respuesta.

Why can it be inferred that Scythian tribe members were strong and brave? (A) They lived in the mountains of Southern Siberia. (B) They hunted both real and imaginary beasts. (C) They endured pain to get full-body tattoos. (D) They preferred tattoos with complex designs.

Cryptography is defined as: The practice of encoding information so only authorized people can read it 1 Sensitive information sent over networks that needs to be secured Verified authority to view information, such as a password or key The act of stealing personal information online

What should you do if you are a victim of cyberbullying? A. Respond to the bully B. Keep a record of messages received (print or take screenshots) C. Reach out to parents, teachers, counselors, and school administrators D. Block communication from the bully (if possible) O A only B A, B, C and D B B, C, and D B and C

If \( z_{1}=5+9 i \) and \( z_{2}=8-3 i \), find: 1. (2) \( z_{1} \cdot z_{2} \) a. \( z_{1}+z_{2} \) b. \( z_{1}-z_{2} \)

Why can it be inferred that Scythian tribe members vere strong and brave? A They lived in the mountains of Southern Siberia. B They hunted both real and imaginary beasts. They endured pain to get full-body tattoos. They preferred tattoos with complex designs.