Let B equal the matrix below: [{1,0,0},{0,3,2},{2,-2,-1}] (1,0,0 is the first row of the matrix B)...

Let B equal the matrix below:

[{1,0,0},{0,3,2},{2,-2,-1}]

(1,0,0 is the first row of the matrix B)

(0,3,2 is the 2nd row of the matrix B

(2,-2,-1 is the third row of the matrix B.)

1) Determine the eigenvalues and associated eigenvectors of B. State both the algebraic and geometric multiplicity of the eigenvalues.

2) The matrix is defective. Nonetheless, find the general solution to the system x’ = Bx. (x is a vector)

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Expert Solution

Colby Messinger answered 1 year ago

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