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Álgebra Linear e Geometria Analítica - Univates

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UNIVATES – Centro Universitário 84<br />

5.4.23 X = A + B =<br />

5.4.25<br />

6 2 4<br />

3 4 5<br />

<br />

<br />

3 4 11<br />

, Y = 2A − B =<br />

0 −4 4<br />

Janeiro Fevereiro<br />

Transistores 96 84<br />

Capacitores 156 132<br />

Resistores 208 170<br />

⎛<br />

5<br />

⎞<br />

−2<br />

5.4.31 ⎝ 4 −1 ⎠<br />

15 −3<br />

5.4.32<br />

<br />

9<br />

<br />

−6<br />

5.4.33<br />

<br />

−4<br />

5<br />

<br />

−8<br />

9<br />

5.4.34<br />

<br />

6<br />

9<br />

6<br />

9<br />

10<br />

15<br />

<br />

−2<br />

−3<br />

5.4.35<br />

<br />

−5<br />

0<br />

<br />

0<br />

= −5I2<br />

−5<br />

⎛<br />

−5<br />

⎞<br />

11<br />

5.4.36 ⎝ −8 23 ⎠<br />

−11 35<br />

⎛<br />

6 0<br />

⎞<br />

1<br />

5.4.37 ⎝ −3 1 4 ⎠<br />

2 2 1<br />

<br />

10 39<br />

5.4.47 A(BC) = (AB)C =<br />

,<br />

10 −17<br />

<br />

4 26<br />

(A + B)C = AC + BC =<br />

−2 29<br />

5.4.51 Não, pois AB = BA<br />

5.4.53<br />

<br />

−1<br />

0<br />

<br />

0<br />

= −I2<br />

−1<br />

5.4.59 ABt <br />

9 −2<br />

=<br />

, BA<br />

11 0<br />

t <br />

9 11<br />

=<br />

, (AB)<br />

−2 0<br />

t <br />

6<br />

=<br />

4<br />

A<br />

8<br />

9<br />

tBt <br />

19 −14<br />

=<br />

, B<br />

7 −4<br />

tAt = (AB) t <br />

19 7<br />

, BA =<br />

−14 −4<br />

5.4.60<br />

<br />

14<br />

−4<br />

<br />

−4<br />

5<br />

<br />

<br />

,

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