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A1 Matlab

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Rešavanje linearnog sistema jednaĉina<br />

• Sistem A·x=b ima rešenje x=A -1 ·b<br />

– u <strong>Matlab</strong>-u: x = A\b<br />

• Sistem x·A=b ima rešenje x=b/A<br />

– u <strong>Matlab</strong>-u: x = b/A<br />

• Primer:<br />

x<br />

1<br />

� x<br />

� 2x<br />

1<br />

� x<br />

1<br />

� 1<br />

�<br />

�<br />

�1<br />

��<br />

�1<br />

2<br />

� 3x<br />

� x<br />

2<br />

2<br />

3<br />

� x<br />

2<br />

�1<br />

�<br />

3<br />

� 2x<br />

x<br />

3<br />

�<br />

�2.<br />

5<br />

3<br />

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1.<br />

5<br />

�1�<br />

�x<br />

2<br />

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x<br />

1 ��<br />

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x<br />

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3<br />

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» A = [1 2 -1; -1 3 2; -1 -1 1];<br />

» b = [-2.5; 0.5; 1.5];<br />

» x = A\b<br />

x =<br />

2.5000<br />

-1.0000<br />

3.0000<br />

» A*x<br />

ans =<br />

-2.5000<br />

0.5000<br />

1.5000<br />

» x = inv(A)*b<br />

x =<br />

2.5000<br />

-1.0000<br />

3.0000

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