(2 points) Consider the linear system y⃗ ′=[−35−23]y⃗ . Find the eigenvalues and eigenvectors for the coefficient matrix. 1= , ⃗ 1= ⎡⎣⎢⎢⎢ ⎤⎦⎥⎥⎥ , and 2= , ⃗ 2= ⎡⎣⎢⎢⎢ ⎤⎦⎥⎥⎥ Find the real-valued solution to the initial value problem {y′1y′2==−3y1−2y2,5y1+3y2,y1(0)=9,y 2(0)=−10.

According to the 2008 u.s. census, california had a population of approximately 4 × 10^7 people and florida had a population of approximately 2 × 10^7 people. which of the following is true? a. the population of california was approximately two times the population of florida. b. the population of florida was approximately twenty times the population of california. c. the population of florida was approximately two times the population of california. d. the population of california was approximately twenty times the population of florida.