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Taller #1 Algebra Lineal: Universidad Tècnica Estatal de Quevedo Facultad: Ciencias de La Ingenierìa

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TALLER #1

ALGEBRA LINEAL
UNIVERSIDAD TÈCNICA ESTATAL DE QUEVEDO
FACULTAD: CIENCIAS DE LA INGENIERÌA

Resolver las siguientes operaciones de matrices

3 −2 4 3 4 1 7 5 9 2 3 −4
(
A= 1 0 6 B= −3 2 0
7 8 −2 5 1 3 ) ( ) ( C= −8 1 6
4 2 −5 ) ( D= 1 7 3
5 4 8 )
(AT + B + C)T

3 1 7 13 10 17
T

(
A = −2 0 8
4 6 −2 ) T

(
( A +B+ C ) = −13 3 14
13 9 −4 )
¿

A+C+D
3 −2 4 7 5 9 2 3 −4
(
A= 1 0 6
7 8 −2 ) ( C= −8 1 6
4 2 −5 ) ( D= 1 7 3
5 4 8 )
12 6 9
A+C + D= −6 8 15
16 14 1 ( )
AT + CT + DT
3 1 7 7 −8 4 2 1 5
(
AT = −2 0 8
4 6 −2 ) ( C T= 5 1 2
9 6 5 ) ( DT = 3 7 4
−4 3 8 )
12 −6 16
T T
A +C + D = 6 T
8 14
9 15 11 ( )

Nombre: Bagui Quintero Rudy Romario


Paralelo A
TALLER #1
ALGEBRA LINEAL

(A + CT + D)T

3 −2 4 7 −8 4 2 3 −4
(
A= 1 0 T
6 C =5 1 2
7 8 −2 9 6 5 ) ( ) (
D= 1 7 3
5 4 8 )
12 −7 4
( A+C T + D)= 7
( 8 11 ¿
21 18 11 )
AT – BT – CT
3 1 7 3 −3 5 7 −8 4
T

(
A = −2 0 8
4 6 −2 ) ( T
B =4 2 1
1 0 3 ) ( T
C =5 1 2
9 6 5 )
−3 3 −5 −7 8 −4
(
T
- B = −4 −2 −1
−1 0 −3 ) (
−C T = −5 −1 −2
−9 −6 −5 )
−7 12 −2

−6 (
AT −BT −CT = −11 −3 5
0 −10 )
(A – BT – C)T

3 −2 4 −3 3 −5 −7 8 −4
(
A= 1 0 T

) (
6 -B = −4 −2 −1
7 8 −2 −1 0 −3 ) T

(
−C = −5 −1 −2
−9 −6 −5 )
−7 9 −5
(
( A−B T −C )= −8 −3 3
−3 2 −10 ) ¿

Nombre: Bagui Quintero Rudy Romario


Paralelo A
TALLER #1
ALGEBRA LINEAL

δA

3 √5 − √5
√5

( )
4 2
δA = √ 5 3 √5
0
4 2
7 √5 −√ 5
2 √5
4 2

δ¿
√5
4

δB

3 √5 √5
√5

( )
4 4
δB= −3 √5 √5 0
4 2
5 √5 √5 3 √5
4 4 4

7
βC β=
2

49 35 63

( )
2 2 2
7
β C= −28 21
2
−35
14 7
2

βD

21
7 −14

( )
2
7 49 21
β D=
2 2 2
35
14 28
2

Nombre: Bagui Quintero Rudy Romario


Paralelo A

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