Q1 2 Points True or False? Q1.1 1 Point If ) = 4, -4 are the eigenvalues of an 2 x 2 matrix A, then A must be invertible. O True O False Save Answer Q1.2 1 Point If x is an eigenvector of an n X n matrix A with eigenvalue ), then -3x is also an eigenvector of A, and it is has the same eigenvalue 1. O True O False Save Answer Q2 2 Points [4 3 2 Let A = 13 -4 -6. Determine the dimension of the eigenspace of A corresponding to the 1 -3 3 eigenvalue 1 = 5. O1 0 2 0 3 Save Answer Q3 4 Points Consider the following two bases for the vector space M2x2 of all 2 x 2 matrices: Find the two change-of-coordinates matrices P and P . Clearly identify which one is which in your work. (Note your answers should be 4 x 4 matrices.) Please select file(s) Select file(s) Save Answer Q4 4 Points Let A = (a) (2 points): Find all eigenvalues of A. (b) (2 points): For each eigenvalue of A, find an eigenvector. Please select file(s) Select file(s) Save