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We have assumed in this section that the coefficient matrix of is diagonalizable. If this is not the case, other methods
must be used to solve the system. Such methods are discussed in more advanced texts.
Exercise Set 9.1
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1.
(a) Solve the system
(b) Find the solution that satisfies the initial conditions , .
2.
(a) Solve the system
(b) Find the solution that satisfies the conditions , .
3.
(a) Solve the system
(b) Find the solution that satisfies the initial conditions ,,.
Solve the system
4.

