9. Considere las funciones \( T_{1} \) y \( T_{2} \) de \( \mathbb{R}^{3} \) en \( \mathbb{R}^{3} \) definidas como \[ T_{1}\left(v_{1}, v_{2}, v_{3}\right)=\left(v_{2}-v_{1}, v_{1}+v_{3}, 2 v_{1}\right), \] \[ T_{2}\left(v_{1}, v_{2}, v_{3}\right)=\left(2 v_{1}+v_{2}, 2 v_{2}-3 v_{1}, v_{1}-v_{3}\right) \] a. Demuestre para cada una que \( T(u+v)=T(u)+T(v) \) b. Demuestre para cada una que \( T(c u)=c T(v) \) con \( c \in \mathbb{R} \) c. Encuentre para cada función las imágenes de los vectores \( (2,3,0) \) y \( (-4,5,1) \) d. Encuentre para cada función las preimágenes de los vectores \( (-11,-1,10) \mathrm{y} \) (4,1,-1) [video guia: https://youtu.be/w5pMApcyTmo?si=58M9DMWUK-7amYCD (desde el 56)]

15.8 Choose the best answer. If \( E(p)>1 \) then, (a) A percent increase in price will result in a larger percent decrease in demand. (b) A percent increase in price will result in the same percent decrease in demand (c) A percent increase in price will result in a smaller percent decrease in demand (d) None of the above.

Westside' and 'Westcoast' hand signs [GENERAL / AMERICA].

1. Bakit sinasabing mahirap bumuo ng pasya? 2. Paano nakakaapekto sa ibang tao ang pagbuo ng pasya? 3. Nakabuo ka na ba ng mahalagang pasya? Tungkol saan ito? Nahirapan ka bang magpasya? Bakit o bakit hindi? 4. Ano ang nararamdaman mo pagkatapos mong magpasya? 5. Paano nararating ang mabuting pasya?

Encuentre una base ortonormal en \( \mathrm{R}^{2} \) que incluya al vector \( v=\binom{5}{2} \).

Decide whether the following statement is true or false. The graph of \( y=-f(x) \) is the reflection about the \( x \)-axis of the graph of \( y=f(x) \). Choose the correct answer below. False True