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Algu=E9m sabe como fazer essa quest=E3o?
=20
Seja L : V de R ^5 uma transforma=E7=E3o linear. Classifique
cada afirma=E7=E3o como Verdadeira ou Falsa. Justifique cada resposta.
(a) Se L =E9 sobrejetora e dim N(T) =3D 2, a dimens=E3o de V =E9 6.
(b) Dim V > dim R^5.
(c) Dim V < dimR^5.
(d) Se L =E9 injetora e sobrejetora, a dimens=E3o de V =E9 5.
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<p class=3DMsoNormal style=3D'text-autospace:none'><span =
style=3D'font-size:12.0pt;
font-family:"Helvetica","sans-serif"'>Algu=E9m sabe como fazer essa =
quest=E3o?<o:p></o:p></span></p>
<p class=3DMsoNormal style=3D'text-autospace:none'><span =
style=3D'font-size:12.0pt;
font-family:"Helvetica","sans-serif"'><o:p> </o:p></span></p>
<p class=3DMsoNormal style=3D'text-autospace:none'><span =
style=3D'font-size:12.0pt;
font-family:"Helvetica","sans-serif"'>Seja L </span><span =
style=3D'font-size:
12.0pt;font-family:"Times-Roman","serif"'>: V de R ^5 </span><span
style=3D'font-size:12.0pt;font-family:"Helvetica","sans-serif"'>uma =
transforma=E7=E3o
linear. Classifique<o:p></o:p></span></p>
<p class=3DMsoNormal style=3D'text-autospace:none'><span =
style=3D'font-size:12.0pt;
font-family:"Helvetica","sans-serif"'>cada afirma=E7=E3o como Verdadeira =
ou Falsa.
Justifique cada resposta.<o:p></o:p></span></p>
<p class=3DMsoNormal style=3D'text-autospace:none'><span =
style=3D'font-size:12.0pt;
font-family:"Helvetica","sans-serif"'>(a) Se L =E9 sobrejetora e dim =
N(T) =3D 2, a
dimens=E3o de V =E9 6.<o:p></o:p></span></p>
<p class=3DMsoNormal style=3D'text-autospace:none'><span =
style=3D'font-size:12.0pt;
font-family:"Helvetica","sans-serif"'>(b) Dim V > dim =
R^5.<o:p></o:p></span></p>
<p class=3DMsoNormal style=3D'text-autospace:none'><span =
style=3D'font-size:12.0pt;
font-family:"Helvetica","sans-serif"'>(c) Dim V < =
dimR^5.<o:p></o:p></span></p>
<p class=3DMsoNormal><span =
style=3D'font-size:12.0pt;font-family:"Helvetica","sans-serif"'>(d)
Se L =E9 injetora e sobrejetora, a dimens=E3o de V =E9 =
5.</span><o:p></o:p></p>
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