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Elementos de Álgebra Lineal Matrices - Solución Práctica 1

Soluciones- Práctico 1
1)
a) i)Falso ii)Falso iii)Verdadero iv)Falso v)Verdadero vi)Verdadero vii)Falso
b) i)B ii)H iii)H iv)F v)G vi)D vii)D; C; G viii)G; D ix)B; G
2) 0 1
0 1 1 0 0 0
0 1 B C
B C B C
B C B 0 2 0 0 C
a) A = B 1 0 C 2 R3 2 B
b) A = B C 2 R4 4
@ A C
B 0 0 3 0 C
2 1 @ A
0 0 0 4
0 1
1
1 1
B 2C
B C
c) A = B 1 1 1 C 2 R3 3
d) A = 1 4 9 2 R1 3
@ A
3
1 1 2
0 1
0 0 0 0 0 1
B C 1 0 0
B C B C
B 0 3 0 0 C B C
e) A = B
B
C 2 R4
C
4
f) A = B 2 4 0 C 2 R3 3
B 0 0 8 0 C @ A
@ A 3 6 9
0 0 0 15
0 1
1 0 1
B C
B C
g) A = B 0 2 1 C 2 R3 3
@ A
0 0 3

3
3) a) x = 2 y= 2
z=4 t=7
1
b) x = 0 y=0 z= 2

c) x = 1 z=0 t=0
d) x = 1 z=0 t=0

4) u = 3 + 3i v = 32 z = 3i t = 2 + 2i
0 1
13 11 0
5) a) 3C D=@ A; 1
5
C + 3G no está de…nida la suma
0 2 4
0 1
p p p 4 2
7G = 7 7 0 ; 1
2
(E II2 2 ) + F = @ A
5 7
2 2

N. Saracho - A. Escobar FACET - UNT 1


Elementos de Álgebra Lineal Matrices - Solución Práctica 1

0 1
4 19 0 1
B C 7 1
B C
b) i)X = B 6 3 C 2 R3 2
ii)X = @ 3 3 A 2 R2 2
@ A 1 2
3 3
5 2

3 1
6) a) x = 2
^ y= 2
_ (x = 2 ^ y= 3)
1
b)(x = 2 ^ y= 2) _ x = 2
^ y= 2

N. Saracho - A. Escobar FACET - UNT 2

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