Return eigenvalues and eigenvectors of a matrix
Examples
library(booklet)
mtcars[, c(2, 8:11)] |>
ca_standardize() |>
ca_weighted_eigen() |>
head()
#> $values
#> [1] 9.874269e-02 4.530753e-02 1.856613e-02 3.359061e-03 5.784999e-33
#>
#> $vectors
#> Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
#> cyl -0.5323498 -0.55862201 -0.63307923 0.4366056 1
#> vs 3.5259164 -2.71321200 2.42845761 2.0585332 1
#> am 2.8260464 3.63185771 -2.41153742 2.3054828 1
#> gear 0.6898839 0.07108246 -0.08193641 -1.4770868 1
#> carb -0.6900274 1.03322494 1.47077515 0.3228621 1
#>
#> $U
#> Dim.1 Dim.2 Dim.3 Dim.4
#> Mazda RX4 -0.07820652 1.4712177262 -0.320304062 0.35453351
#> Mazda RX4 Wag -0.07820652 1.4712177262 -0.320304062 0.35453351
#> Datsun 710 1.82032320 0.0007313814 -0.915623619 0.82341563
#> Hornet 4 Drive 0.49512740 -2.0579339335 -0.096776496 0.89371068
#> Hornet Sportabout -0.87372602 -0.7911749283 -1.337338621 -0.38846990
#> Valiant 0.49512740 -2.0579339335 -0.096776496 0.89371068
#> Duster 360 -1.05001677 -0.0384701714 0.280183828 0.40608321
#> Merc 240D 0.80310804 -1.1091256142 1.674599360 -2.28642414
#> Merc 230 0.80310804 -1.1091256142 1.674599360 -2.28642414
#> Merc 280 0.07027542 -0.5160662826 2.047757539 0.07047484
#> Merc 280C 0.07027542 -0.5160662826 2.047757539 0.07047484
#> Merc 450SE -0.96816750 -0.3879402371 -0.470808738 0.03718355
#> Merc 450SL -0.96816750 -0.3879402371 -0.470808738 0.03718355
#> Merc 450SLC -0.96816750 -0.3879402371 -0.470808738 0.03718355
#> Cadillac Fleetwood -1.05001677 -0.0384701714 0.280183828 0.40608321
#> Lincoln Continental -1.05001677 -0.0384701714 0.280183828 0.40608321
#> Chrysler Imperial -1.05001677 -0.0384701714 0.280183828 0.40608321
#> Fiat 128 1.82032320 0.0007313814 -0.915623619 0.82341563
#> Honda Civic 1.48563737 0.4051796620 0.060184995 1.21902087
#> Toyota Corolla 1.82032320 0.0007313814 -0.915623619 0.82341563
#> Toyota Corona 0.98162723 -1.9320488099 0.914205323 -0.58173487
#> Dodge Challenger -0.87372602 -0.7911749283 -1.337338621 -0.38846990
#> AMC Javelin -0.87372602 -0.7911749283 -1.337338621 -0.38846990
#> Camaro Z28 -1.05001677 -0.0384701714 0.280183828 0.40608321
#> Pontiac Firebird -0.87372602 -0.7911749283 -1.337338621 -0.38846990
#> Fiat X1-9 1.82032320 0.0007313814 -0.915623619 0.82341563
#> Porsche 914-2 0.73353410 1.4952354301 -1.475138814 -3.86462630
#> Lotus Europa 1.54023834 0.3997002099 0.009298864 -0.83519075
#> Ford Pantera L -0.13143842 0.9529654832 -0.816571389 -0.28340535
#> Ferrari Dino -0.18719229 1.7839130097 0.899014659 -0.50146503
#> Maserati Bora -0.50679628 1.6622646223 1.294456091 0.78097352
#> Volvo 142E 1.48563737 0.4051796620 0.060184995 1.21902087
#> Dim.5
#> Mazda RX4 -3.3743389
#> Mazda RX4 Wag 1.6257425
#> Datsun 710 0.1460449
#> Hornet 4 Drive -0.2857444
#> Hornet Sportabout 0.4583148
#> Valiant -1.1113802
#> Duster 360 0.9369595
#> Merc 240D 0.1933424
#> Merc 230 0.1933424
#> Merc 280 0.4773658
#> Merc 280C 0.4773658
#> Merc 450SE 0.2120136
#> Merc 450SL 0.2120136
#> Merc 450SLC 0.2120136
#> Cadillac Fleetwood 0.9369595
#> Lincoln Continental 0.9369595
#> Chrysler Imperial 0.9369595
#> Fiat 128 0.5242171
#> Honda Civic 1.2050212
#> Toyota Corolla 0.5192154
#> Toyota Corona 1.0706953
#> Dodge Challenger 0.3753483
#> AMC Javelin 0.3753483
#> Camaro Z28 0.9182862
#> Pontiac Firebird 0.3753483
#> Fiat X1-9 0.5192154
#> Porsche 914-2 0.6469550
#> Lotus Europa 0.8252759
#> Ford Pantera L 1.6138071
#> Ferrari Dino -0.4355526
#> Maserati Bora 0.5109886
#> Volvo 142E 1.2294165
#>