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