Explain if these statements are true/false. (f) Suppose A is

Last updated: 8/10/2022

Explain if these statements are true/false. (f) Suppose A is an n x n matrix and 2 is an eigenvalue for A. Then 8 must be an eigenvalue for A³. (g) If the determinant of a 2 × 2 matrix A is negative then there is an eigenbasis for A.