Considertherealmatrix
A(t):=
0
1 1 1
t 2t 2
t+1 0 2t 1
A
;
whi h depends onareal valued parametert. Wewant to ndall solutionsof
thehomogenouslinearsystemde ned byA dependingontheparametert.
Therefore,weusetheAlgorithmGauss:
A(t)= 0
B
1 1 1
t 2t 2
t+1 0 2t 1
C
A t
+
(t+1)
+
0
B
1 1 1
0 t 2 t
0 t 1 t 1 1
C
A
+
j ( 1)
0
B
1 1 1
0 t 2 t
0 1 1
1
C
A
t
+
j :2
0
1 1 1
0 1 1
0 0 1 1
A
:
Con lusion
WehavelearnedthatthematrixAde nedaboveisregularforallrealvaluedt,
andwehopefullyalsohavelearnedhowtousethegausspa kage.
