Algebra lineare e geometria analitica - Esercizi

(N

am =

+

I I 301da

10ad

& 10ad

&

Rs H) il

*

301da 1 da

a

3

,

>

la

da

I la

da

- I

- - R2

Ra

12

I 3(1) 0022

&

& & ,

, 00

&

19 a a

00

& a

[13 0 /olioioid 2]

0) 10

10

B 1

1 01 2

0

0

0 0

=

vin i

i , ,

,

,

, ,

,

,

. ,

i

,

S = Xz = 0 (0 0

0 0

x2

X1 0 &

Xa

= = , ,

, ,

2x,

*s X &

0 =

=

- 1 [10 01] am

Br =1

0

1 0

- =

* X3 0

An =

0

=

xz + , , , ,

* 2x = a

+

z

X3 &

=

(WV) (N 2)

Dem Dem(W) (r) Dem

Dun

= + +

- 1

3 4

2

+ =

-

I I )

I X10a

10 1

a -

118 " 0a

A & P

= = X

8 I 1

I 1

& - X

11 11

& &

o -

))1 1)

x)() x)()1 1)) x)

( x)(1 x) 1

- -

-

- -

- -

-

.

x))

( x)((1 x)2

(1

(1

x)3 0

1

+ =

-

- -

- -

-

X)" x)2 X

(1 (1 (1 1

+ 0

=

- -

- -

-

( x)2

2(1

X(4 1 0

+ =

- -

-

=

x)

(1 t

- t - 2t 1 = 0

+

- 2

x 21 0

=

-

h

A h 0

=

= x)2

- (1 2)

x(x

1

+* = 0

=

- -

- zo

=

2

, 1 x=

T

- t X mald

2x 0 2

2 =

+ = =

-

I x mn(2) 2

2 =

=

4 &k

mara m

= =

x rg(P(d) ma(d)

mg(0)

0 4 2

2

=

r 2

· mg

= = =

=

=

-

-

I ( Do

I I && R( ) DI

1)

1 0 & , 2

us Ta =

I

da &O

&

&

11

do & a

&

(

S S

↓ &

'I X X2

= -

,

Xz

Xn Xn

=

* &

=

+

3 -

2) xn)}

S( Xn

x2 xz

= - -

, , ,

[( 1)]

0) (0

B 1

1 1

0 0

· = - -

, ,

. , ,

,

, .

X rg(pz) 2

mg(2)

2 h 2

· ma

m 2 my

= =

= =

= =

-

-

I 3/11

i' &

&

& & Ra I

o & I

& , 2

as -

> =

- -

I R2(Ilo

o

& 08

1 a

- I

& & &

- a

- S

S

I X =X

- I

1

&0 - - ((x yn)}

Se Xn

x

=

I ,

o ,,

) ,

. Sa

o [)

D 10 11]

a)

Bc 1

1 1 0 0

· = , ,

, ,

, ,

,

(2)

6 (2

LUGLIO B) 0

( -2

I 1

I

a I

2 · -

(2x I

I & &

kx kxy I &

&

2x &

0

=

+ -

, (

Sx bx 24

2x2

: Re()

+ = E

-

kx (k k

1x =

+ -

, S

I

S ( che

( ka

o

& 2

19 S

2 -

- C 2

=

A = (29) 2

=

2

( tonk

- 0k

4 1

+ +

- 1g(C) 3

=

Me

= &

a = rg(A)

M31 2

0 =

= &

& =

-

/ a M

=

Maz = k

M35 1k

k 2

&

·

& =

= =

=

= -2

k -2 I

Mas 0

= K

I-l olk-D

· 4k3

1)

[2kY =

4k(k +

4k2 D -

↑ -

-

-

k &

· = S

S [

·

I ~

2 2x e

O &

8 +

- -X3 +

C 2

= [X-X3 ex e

=

E(X

Sea d]

+ x

= 2

,, ,,

,

k 2

=

·

c) S

&

2

2 - 4

&

001 2 232

-

(

↳

12312 2

2 - 2x

xn 2

=

2 2x)33x X

2

= -

&(2

Se = xy

x X2

- ,

, , -

B

ag(A) 2

k 2 1g(c)

= =

0

= *

- -

k 2

rg(A)

2 2 eg(2)

= =

- =

k g(A) Mg()

2 3

1 +

2

0

+ = =

,

, #

) ) A

-o 2 & & &

-

- 2

p

3 45

23

o 5

= -

- o

- = - -

x a

an 3 - /

003 -

x)( x)(3 x)

(2 x)(3

2 =

- 0

- - -

-

X 2mn(

x 2) 2

2 x 4

2

a

· = = M

ma

= =

- - = =

- -

0X

x X 3

3 ma(3)

3 2

= =

· =

- =

X 2 rg(p-z) 2

4 2 2

n mg

mg

· ma

= = =

- =

=

- =

- I

I

I I ·

o 3 3 1) oa & 7

&

&

3(

R2

· 2

&

& ,

- o & &

> > =

-

-

50 -10

·

& 05

Ran)) & a

-S and

&

o ob

o [Eh(x 3

· 0

I 0

*,

, ,

& . a)

[(1 9) 191

Bu 0

0

= 0

,

, , ,

,

.