[Solved] 18.06 Unit 2 Exercise 8-eigenvalues and eigenvectors

eigenvalues and eigenvectors

Problem 21.1: (6.1 #19. Introduction to Linear Algebra: Strang) A three by three matrix B is known to have eigenvalues 0, 1 and 2. This information is enough to find three of these (give the answers where possible):

1. The rank of B
2. The determinant of B^TB
3. The eigenvalues of B^TB
4. The eigenvalues of (B² + I)¹

Problem 21.2: (6.1 #29.) Find the eigenvalues of A, B, and C when

A , B and C .

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