Dear All
i have a little puzzle about eigenvector in the R.
As we know that the eigenvector can be displayed on several form.
For example
A=matrix(c(1,2,4,3),2,2)
if we want to get the eigenvalue and eigenvector, the code followed
eigen(A)
$values
[1] 5 -1
$vectors
[,1] [,2]
[1,] -0.7071068 -0.8944272
[2,] -0.7071068 0.4472136
however, we also can calculate the vector matrix such that
$vectors
[,1] [,2]
[1,] 0.7071068 -0.8944272
[2,] 0.7071068 0.4472136
or
$vectors
[,1] [,2]
[1,] -0.7071068 0.8944272
[2,] -0.7071068 -0.4472136
or
$vectors
[,1] [,2]
[1,] 0.7071068 0.8944272
[2,] 0.7071068 -0.4472136
my puzzle is that what does the rule be followed in R?
On the other word, what does it make the R to display the first form?
thanks a lot.
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