buckaroobill
New member
- Joined
- Dec 16, 2006
- Messages
- 40
My book gives an example for solving for a steady state vector for a matrix, but I'm a little confused.
Okay, so it gives you the matrix:
M =
[ 0 .5 0
.5 0 1
.5 .5 0]
Then, it tells you that in order to find the steady state vector for the matrix, you have to multiply
[-1 .5 0
.5 -1 1
.5 .5 -1]
by
[x1
x2
x3]
to get
[0
0
0]
I understand that they got the:
[-1 .5 0
.5 -1 1
.5 .5 -1]
by doing M - the identity matrix.
However, the book came up with these steady state vectors without an explanation of how they got there:
x1 = .222
x2 = .444
and x3 = .333
I'm a little confused about how you come up with those. Do you just row reduce
[-1 .5 0
.5 -1 1
.5 .5 -1]
to get them? Or is another method involved here?
Okay, so it gives you the matrix:
M =
[ 0 .5 0
.5 0 1
.5 .5 0]
Then, it tells you that in order to find the steady state vector for the matrix, you have to multiply
[-1 .5 0
.5 -1 1
.5 .5 -1]
by
[x1
x2
x3]
to get
[0
0
0]
I understand that they got the:
[-1 .5 0
.5 -1 1
.5 .5 -1]
by doing M - the identity matrix.
However, the book came up with these steady state vectors without an explanation of how they got there:
x1 = .222
x2 = .444
and x3 = .333
I'm a little confused about how you come up with those. Do you just row reduce
[-1 .5 0
.5 -1 1
.5 .5 -1]
to get them? Or is another method involved here?