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reigenvectoreigenvalue

How to obtain eigen vectors from particular eigen values using R?


Example: I have 20 eigen values and i have chosen 10 as best eigen values. For these 10 values I need to find eigen vectors seperately.How to do? I am new to R programming. Expecting your reply.


Solution

  • > B <- matrix(1:4, 2)
    > eig <- eigen(B)
    > eig$vectors[,which.max(eig$values)]
    [1] -0.5657675 -0.8245648
    

    or something like this

    > n <- 3 
    > A  <- matrix(round(runif(n*n),2),nrow=n) 
    > A 
         [,1] [,2] [,3]
    [1,] 0.54 0.90 0.82
    [2,] 0.09 0.42 0.95
    [3,] 0.17 0.75 0.69
    > evv.A <- eigen(A) 
    > evv.A 
    $values
    [1]  1.6230202  0.3095823 -0.2826025
    
    $vectors
               [,1]        [,2]       [,3]
    [1,] -0.7455955 -0.97996498  0.3069212
    [2,] -0.4464598  0.18600090 -0.7788676
    [3,] -0.4947332  0.07122006  0.5469594
    
    > 
    > k <- which(abs(evv.A$values)==max(abs(evv.A$values))) 
    > evv.A$vectors[,k] 
    [1] -0.7455955 -0.4464598 -0.4947332
    > k 
    [1] 1