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Linear Algebra and Learning from Data

Exercise 1.6.4

Answers

Eigenvalues of $A$ are: $λ_{1} = 1$ , $λ_{2} = 1$ .
Eigenvalues of $B$ are: $λ_{1} = 1$ , $λ_{2} = 1$ .
Eigenvalues of $AB$ are: $λ_{1} = 2 + \sqrt{3}$ , $λ_{2} = 2 - \sqrt{3}$ .
Eigenvalues of $BA$ are: $λ_{1} = 2 + \sqrt{3}$ , $λ_{2} = 2 - \sqrt{3}$ .
1.
The eigenvalues of $AB$ are not equal to eigenvalues of $A$ times eigenvalues of $B$ .
1.
The eigenvalues of $AB$ equal to the eigenvalues of $BA$ .

niuers

2020-03-20 00:00

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