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exemplo 7 17 analise

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PK��������üEkLńB–H������������mimetypetext/x-wxmathmlPK��������üEkL�'é˛Ć���Ć�������content.xml<?xml version="1.0" encoding="UTF-8"?>
<!-- Created by wxMaxima 15.04.0 -->
<!--http://wxmaxima.sourceforge.net-->
<wxMaximaDocument version="1.2" zoom="100">
<cell type="code">
<input>
<editor type="input">
<line>A: matrix(</line>
<line> [-7,1], </line>
<line> [-12,0]</line>
<line>);</line>
</editor>
</input>
<output>
<mth><lbl>(A)</lbl><tb><mtr><mtd><v>�</v><n>7</n></mtd><mtd><n>1</n></mtd></mtr><mtr><mtd><v>�</v><n>12</n></mtd><mtd><n>0</n></mtd></mtr></tb>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>B: matrix(</line>
<line> [1], </line>
<line> [-Z0]</line>
<line>);</line>
</editor>
</input>
<output>
<mth><lbl>(B)</lbl><tb><mtr><mtd><n>1</n></mtd></mtr><mtr><mtd><v>�</v><v>Z0</v></mtd></mtr></tb>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>C: matrix([1, 0]);</line>
</editor>
</input>
<output>
<mth><lbl>(C)</lbl><tb><mtr><mtd><n>1</n></mtd><mtd><n>0</n></mtd></mtr></tb>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>I: matrix(</line>
<line> [1,0], </line>
<line> [0,1]</line>
<line>);</line>
</editor>
</input>
<output>
<mth><lbl>(I)</lbl><tb><mtr><mtd><n>1</n></mtd><mtd><n>0</n></mtd></mtr><mtr><mtd><n>0</n></mtd><mtd><n>1</n></mtd></mtr></tb>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>G=C.invert(s*I-A).B;</line>
</editor>
</input>
<output>
<mth><lbl>(%o7) </lbl><v>G</v><v>=</v><f><r><v>s</v></r><r><v>s</v><h>*</h><p><v>s</v><v>+</v><n>7</n></p><v>+</v><n>12</n></r></f><v>�</v><f><r><v>Z0</v></r><r><v>s</v><h>*</h><p><v>s</v><v>+</v><n>7</n></p><v>+</v><n>12</n></r></f>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>A.B;</line>
</editor>
</input>
<output>
<mth><lbl>(%o8) </lbl><tb><mtr><mtd><v>�</v><v>Z0</v><v>�</v><n>7</n></mtd></mtr><mtr><mtd><v>�</v><n>12</n></mtd></mtr></tb>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>B;</line>
</editor>
</input>
<output>
<mth><lbl>(%o9) </lbl><tb><mtr><mtd><n>1</n></mtd></mtr><mtr><mtd><v>�</v><v>Z0</v></mtd></mtr></tb>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>CtrbAB: matrix(</line>
<line> [1,-z0-7], </line>
<line> [-z0,-12]</line>
<line>);</line>
</editor>
</input>
<output>
<mth><lbl>(CtrbAB)</lbl><tb><mtr><mtd><n>1</n></mtd><mtd><v>�</v><v>z0</v><v>�</v><n>7</n></mtd></mtr><mtr><mtd><v>�</v><v>z0</v></mtd><mtd><v>�</v><n>12</n></mtd></mtr></tb>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>s*I-A;</line>
</editor>
</input>
<output>
<mth><lbl>(%o11) </lbl><tb><mtr><mtd><v>s</v><v>+</v><n>7</n></mtd><mtd><v>�</v><n>1</n></mtd></mtr><mtr><mtd><n>12</n></mtd><mtd><v>s</v></mtd></mtr></tb>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>ObsvAC=matrix(</line>
<line> [1, 0], </line>
<line> [-7, 1]</line>
<line>);</line>
</editor>
</input>
<output>
<mth><lbl>(%o15) </lbl><v>ObsvAC</v><v>=</v><tb><mtr><mtd><n>1</n></mtd><mtd><n>0</n></mtd></mtr><mtr><mtd><v>�</v><n>7</n></mtd><mtd><n>1</n></mtd></mtr></tb>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>K:matrix(</line>
<line> [K1,K2]</line>
<line>);</line>
</editor>
</input>
<output>
<mth><lbl>(K)</lbl><tb><mtr><mtd><v>K1</v></mtd><mtd><v>K2</v></mtd></mtr></tb>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>A-B.K;</line>
</editor>
</input>
<output>
<mth><lbl>(%o17) </lbl><tb><mtr><mtd><v>�</v><v>K1</v><v>�</v><n>7</n></mtd><mtd><n>1</n><v>�</v><v>K2</v></mtd></mtr><mtr><mtd><v>K1</v><h>*</h><v>Z0</v><v>�</v><n>12</n></mtd><mtd><v>K2</v><h>*</h><v>Z0</v></mtd></mtr></tb>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>determinant(s*I-(A-B.K));</line>
</editor>
</input>
<output>
<mth><lbl>(%o19) </lbl><p><v>K1</v><v>+</v><v>s</v><v>+</v><n>7</n></p><h>*</h><p><v>s</v><v>�</v><v>K2</v><h>*</h><v>Z0</v></p><v>�</v><p><v>K2</v><v>�</v><n>1</n></p><h>*</h><p><n>12</n><v>�</v><v>K1</v><h>*</h><v>Z0</v></p>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>ratsimp(%);</line>
</editor>
</input>
<output>
<mth><lbl>(%o20) </lbl><p><p><v>�</v><v>s</v><v>�</v><n>7</n></p><h>*</h><v>K2</v><v>�</v><v>K1</v></p><h>*</h><v>Z0</v><v>�</v><n>12</n><h>*</h><v>K2</v><v>+</v><v>s</v><h>*</h><v>K1</v><v>+</v><e><r><v>s</v></r><r><n>2</n></r></e><v>+</v><n>7</n><h>*</h><v>s</v><v>+</v><n>12</n>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>expand(%);</line>
</editor>
</input>
<output>
<mth><lbl>(%o21) </lbl><v>�</v><v>s</v><h>*</h><v>K2</v><h>*</h><v>Z0</v><v>�</v><n>7</n><h>*</h><v>K2</v><h>*</h><v>Z0</v><v>�</v><v>K1</v><h>*</h><v>Z0</v><v>�</v><n>12</n><h>*</h><v>K2</v><v>+</v><v>s</v><h>*</h><v>K1</v><v>+</v><e><r><v>s</v></r><r><n>2</n></r></e><v>+</v><n>7</n><h>*</h><v>s</v><v>+</v><n>12</n>
</mth></output>
</cell>
<cell type="code">
<input>
<editor type="input">
<line>S:invert(matrix([1,-z0],[-z0,-12-7*z0])).matrix([-7+2*zeta*wn],[wn^2-12]);</line>
</editor>
</input>
<output>
<mth><lbl>(S)</lbl><tb><mtr><mtd><f><r><p><v>�</v><n>7</n><h>*</h><v>z0</v><v>�</v><n>12</n></p><h>*</h><p><n>2</n><h>*</h><v>wn</v><h>*</h><g>zeta</g><v>�</v><n>7</n></p></r><r><v>�</v><e><r><v>z0</v></r><r><n>2</n></r></e><v>�</v><n>7</n><h>*</h><v>z0</v><v>�</v><n>12</n></r></f><v>+</v><f><r><p><e><r><v>wn</v></r><r><n>2</n></r></e><v>�</v><n>12</n></p><h>*</h><v>z0</v></r><r><v>�</v><e><r><v>z0</v></r><r><n>2</n></r></e><v>�</v><n>7</n><h>*</h><v>z0</v><v>�</v><n>12</n></r></f></mtd></mtr><mtr><mtd><f><r><v>z0</v><h>*</h><p><n>2</n><h>*</h><v>wn</v><h>*</h><g>zeta</g><v>�</v><n>7</n></p></r><r><v>�</v><e><r><v>z0</v></r><r><n>2</n></r></e><v>�</v><n>7</n><h>*</h><v>z0</v><v>�</v><n>12</n></r></f><v>+</v><f><r><e><r><v>wn</v></r><r><n>2</n></r></e><v>�</v><n>12</n></r><r><v>�</v><e><r><v>z0</v></r><r><n>2</n></r></e><v>�</v><n>7</n><h>*</h><v>z0</v><v>�</v><n>12</n></r></f></mtd></mtr></tb><t>Maxima encountered a Lisp error:</t><t> Interactive interrupt at #x7FFF6473CFCA.</t><t>Automatically continuing.</t><t>To enable the Lisp debugger set *debugger-hook* to nil.</t>
</mth></output>
</cell>
</wxMaximaDocument>PK����������üEkLńB–H��������������������������mimetypePK����������üEkL�'é˛Ć���Ć�����������������5���content.xmlPK����������o���$�����

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