Prove: If is an eigenvalue of A, x is a corresponding eigenvector, and s is a scalar, then is an eigenvalue of , and x is a corresponding eigenvector.

Shlomi Oved Discrete Mathematics 09/14/16 09/13/16 Recitation (Week 2) Problem: Given integers of the form abcabc show that all of them are divisible by 13. Ex: 123123, 758758 / = 1001 1001/13 = 77 = 13 ∗ 17 ∗ Homework Problems Section 2.1 6. = 2,4,6 , = 2,6 , = 4,6 , = {4,6,8} ⊆ , ⊆ , ⊆ 11. a. ∈ {} → b. ⊆ → c. ∈ → d. ∈ →