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Oefeningen Lineaire Algebra | KU Leuven | 2025/26

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Dit document bevat uitgewerkte oefeningen en opgaven voor het vak Lineaire Algebra aan de KU Leuven. De opgaven behandelen kernonderwerpen zoals matrixreductie, trapvorm, echelonvorm, vectorruimten, dimensie, basis, en orthogonale complementen. Dit materiaal is ideaal voor examenvoorbereiding en helpt bij het oefenen van typische opgavencategorieën die in dit vak voorkomen.

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I
gesloten boek
XHarengenbundel
mondeling ,

dle
Theorie :
-
damen
↳
auf
:
Open boek


·
per
tragen waarwalt
+ motivatie
: 3




GEEN Erdne

4 ZUZY
x + h = 3 geen Punten

O


Trapvorm Echelenvorm



( % I Leer I I
1 01 3 &2 =
Rz -

21 D 01 ·
e & 1 3


222 O Do o
①o
·
O

Rota
D D 3 3 0 0 B 3 ①


leidende el

Rijgeredvoerd


( (
RazBufy 100 2

7 0100

0011
Selement
Eis
↳ V =

,4) a) Eggore n


1000 i D 003↳ Z


geen
leidend el =
vrije variabele




& YA
x + 44 = - 1




(
v =




↑


b) v =

0 [o strijdig

Ga)) -
1
-21

--


32 -
4 -
3


RzRz-zR1

128 -)
T -

2 1

&
g
- 23 32
-

3 6 D


- - 2




2274 +
92 -
-5 2
.

-




- 2


0
- 1 Z




2)
23-13 + Tre
en



ToRs(1 P
&
-
Echelen


rijgende
(
O O

,I
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wate




10 %
O O




↑ i
V =

((1 ,
24 ,
4 ,
-


34 , 4)/y , 44

, 10a) (h , ke())


↳het Stelling 1 .
11 = echdomom



1 hingene
goals :
3-Ih 0 yeals 3-2h
:
= 0




k -
2 = 0
k -
z + 0




22/I
&


uniehe gel
V=
((1- h ,
Enclusie
Als hisnides gel
Als h = en k = 2 :
t met vrijheidsge
Als h = enk +2 :
orpl

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Uploaded on
August 31, 2026
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