Question: 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

 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

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 aneigenvalue for A³.(g) If the determinant of a 2 × 2 matrix A is negative then there is an eigenbasis forA.

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