Hi, I have questions.

I need your help with explanations.

Thank you so much.

Question 1 (1 point} When a linear homogeneous system of n equations with constant coefficients does not have a full set of n linearly independent eigenvectors, I: j it does not have n linearly independent solutions ,5" "3' it has n linearly independent solutions, but some involve generalized eigenyectors .f "j: it does not have unique solutions for some initial conditions .g\" ":3 solutions do not exist for some initial conditions Question 2 (1 point) If J is the Jordan Form for a matrix A (with eigenvector matrix 7, and fundamental matrix Q for the transformed system y/= Jy), then OA = TJT-1 OA = T-1 JT O A = TJ O A = QJQuestion 3 (1 point) x' :Ax for which A has repeated eigenvalues, always has solutions involving generalized eigenvalues. ii: i) True it) False Question 4 (1 point) For Xl : Ax, Where x E R2, and A is 2 X 2, with repeated eigenvalue r 75 0, and only one linearly independent eigenvector, the origin is always an improper node. If t) True If t) False