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Esercizi di Algebra Lineare
Marco Franciosi
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eBook - PDF
Esercizi di Algebra Lineare
Marco Franciosi
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About This Book
In questo volume sono raccolti esercizi utili per affrontare i corsi universitari che vertono su argomenti legati all'Algebra Lineare. Lo scopo di questo libro ĆØ quello di fornire un nuovo approccio e nuovi strumenti utili per affrontare le tematiche che vengono trattate a lezione, spesso nuove e talvolta ostiche. Gli esercizi proposti sono stati pensati per prendere confidenza con i nuovi concetti e per sviluppare le tecniche di calcolo necessarie per affrontare gli argomenti del corso di Algebra Lineare.
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Information
Topic
MatematicaSubtopic
Algebra lineare1
Numeri
complessi
1.1
Richiami
di
teoria
C
=
{
numeri
complessi
}
C
3
z
=
x
+
iy,
i
=
ā
-
1
,
Re
(
z
)
=
x,
Im
(
z
)
=
y
1.1.1
Operazioni
fondamentali
ā¢
SOMMA:
z
1
=
x
1
+
iy
1
,
z
2
=
x
2
+
iy
2
z
1
+
z
2
=
(
x
1
+
x
2
)
+
i
(
y
1
+
y
2
)
ā¢
PRODOTTO:
z
1
=
x
1
+
iy
1
,
z
2
=
x
2
+
iy
2
z
1
Ā·
z
2
=
(
x
1
x
2
-
y
1
y
2
)
+
i
(
x
2
y
1
+
x
1
y
2
)
ā¢
CONIUGIO:
z
=
x
+
iy
7
ā
z
=
x
-
iy
ā¢
NORMA
o
modulo
di
z
:
z
=
x
+
iy
ā
|
z
|
=
p
x
2
+
y
2
ā¢
Osservazione
:
|
z
|
2
=
z
Ā·
z
1.1.2
Funzione
esponenziale
nel
campo
complesso
exp
:
C
ā
C
z
=
x
+
iy
7
ā
e
z
=
e
x
+
iy
=
e
x
Ā·
cos
y
+
i
(
e
x
Ā·
sin
y
)