3.- Dada la siguiente matriz, hallar sus autovalores, el subespacio asociado a cada uno de ellos y sus autovectores: \[ \boldsymbol{A}=\left(\begin{array}{ccc}\mathbf{1} & \boldsymbol{a - 1} & \boldsymbol{a}-\mathbf{2} \\ \mathbf{0} & -\mathbf{1} & \boldsymbol{a}-\mathbf{3} \\ \mathbf{0} & \mathbf{0} & \mathbf{- 1}\end{array}\right) \] Decir si A es diagonalizable (justificar), en ese caso hallar la matriz P que la diagonaliza. Justificar.

1. What can you infer about the global impact of COVID-19 based on the number of infections and deaths mentioned in the article? 2. How did the roles of first responders and essential workers contribute to communities during the pandemic?

Which two problems trouble sustainable farmers? (A) irrigation scheduling (B) water availability (C) water quality (D) water flow (E) irrigation systems

What action does the USDA believe could save the United States \( \$ 200 \) million per year in fuel costs? A) increasing irrigation efficiency (B) increasing food prices (C) decreasing dairy farmers Decreasing population growth

6. How did the pandemic highlight the interconnectedness of global communities? 7. What can you infer about the adaptability of schools and businesses during the pandemic? 8. How did people's understanding of the virus evolve over time, and what factors contributed to this change?

2 is a quadratic residue modulo 5