In[]:=
Eigensystem
6
2
1
0
4
2
0
0
3
​​​​
Out[]=
{{6,4,3},{{1,0,0},{-1,1,0},{1,-2,1}}}
In[]:=
Inverse
1
-1
1
0
1
-2
0
0
1
//MatrixForm
Out[]//MatrixForm=
-1
1
-1
1
0
1
-2
0
0
1
In[]:=
1
1
1
0
1
2
0
0
1
.
6t
e
0
0
0
4t
e
0
0
0
3t
e
.
1
-1
1
0
1
2
0
0
1
.
x
y
z
//MatrixForm
Out[]//MatrixForm=
1
1
1
0
1
2
0
0
1
.
6t
e
0
0
0
4t
e
0
0
0
3t
e
.
1
-1
1
0
1
2
0
0
1
.
x
y
z
In[]:=
ClearAll​​
6t
e
4t
e
-e^{6t}+e^{4t}
e^{6t}-2e^{4t}+e^{3t}
0
4t
e
-2(
4t
e
-
3t
e
)
0
0
3t
e
.
x
y
z
Out[]=
ClearAll
Out[]=
{{{{
6t
e
,
4t
e
}},{
4t
e
-
6t
e
},{
3t
e
-2
4t
e
+
6t
e
}},{0,
4t
e
,-2(-
3t
e
+
4t
e
)},{0,0,
3t
e
}}.
x
y
z