1. Suppose that a matrix is given as ● a. Calculate the eigenvalues and eigenvectors by hand. b. Suppose that X is given as 3 1 14 4 2 3 3 7 2 0 0 0 HI 1 0 1 0 1 1 1 0 1 Calculate the three principal components using the orthonormal eigenvectors in (a) by hand. c. Repeat (a) (b) using R.

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1. Suppose that a matrix is given as
a. Calculate the eigenvalues and eigenvectors by hand.
b. Suppose that X is given as
1
2
3
4
3
7
1
2
00 0
B
1 0 1
0 1 1
1 0 1
Calculate the three principal components using the orthonormal eigenvectors in (a) by hand.
c. Repeat (a) - (b) using R.
Transcribed Image Text:1. Suppose that a matrix is given as a. Calculate the eigenvalues and eigenvectors by hand. b. Suppose that X is given as 1 2 3 4 3 7 1 2 00 0 B 1 0 1 0 1 1 1 0 1 Calculate the three principal components using the orthonormal eigenvectors in (a) by hand. c. Repeat (a) - (b) using R.
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