$MATH 225: DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA ...$

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MATH 225: DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA ...

MATH 225: DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA ...

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Hence<br />

A −1 ⎡<br />

1 1<br />

⎤<br />

0<br />

= ⎣−5/4<br />

−3/4 3/8⎦<br />

, then X = ZA<br />

−1/2 −1/2 1/4<br />

−1 =<br />

� �<br />

5 4 0<br />

.<br />

−7/2 −5/2 3/4

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Hence A −1 ⎡ 1 1 ⎤ 0 = ⎣−5/4 −3/4 3/8⎦ , then X = ZA −1/2 −1/2 1/4 −1 = � � 5 4 0 . −7/2 −5/2 3/4

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