×
×

# Solved: 2326 deal with the eigenvalue/eigenvector problem for n n real skew-symmetric

ISBN: 9780321964670 380

## Solution for problem 23 Chapter 7.5

Differential Equations | 4th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Differential Equations | 4th Edition

4 5 1 263 Reviews
30
2
Problem 23

2326 deal with the eigenvalue/eigenvector problem for n n real skew-symmetric matrices.Let A be an n n real skew-symmetric matrix.(a) Prove that for all v1 and v2 in Cn,Av1, v2 = v1, Av2,where , denotes the standard inner product inCn. [Hint: See Lemma 7.5.9.](b) Prove that all nonzero eigenvalues of A are pureimaginary ( = ). [Hint: Model your proofafter that of (1) in Theorem 7.5.4.]

Step-by-Step Solution:
Step 1 of 3

● “Famine, Affluence, and Morality” Singer ○ Charity- good to do but not bad not to do, “supereragatory act” ■ Ex: Saying “bless you,” donating money, volunteering, giving blood ○ Duty- an act that is good to do and bad not to do, you HAVE to do it, moral responsibility ■ Ex: providing for your children, paying taxes, jury duty,...

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution