Systems Biology Name: Student ID: 1. Save the following data in a text file called “DataGE1.txt” in the working directory of your R programming and Cluster the multivariate data using R by PCA analysis based on first two principal components. Compare the results obtained by hierarchical clustering in homework 2. name G1 G2 G3 G4 G5 G6 G7 G8 G9 G10 EX1 10 10 4 9.5 4.5 10.5 5 2.7 9.7 10.2 EX2 8 0 8.5 0.5 8.5 9 8.5 8.7 2.0 1.0 EX3 10 9 3 8.5 2.5 12 11 2.0 9.0 9.2 Tentative simple R commands are as follows: data <- read.table("DataGE1.txt", header=T, row.names="name") PCAResult <- princomp(data,cor=TRUE) summary(PCAResult) biplot(PCAResult,scale=0,cex=c(0.5,0.5)) 2. Try to run the following commands on R and print and explain the results. x <- rbind(matrix(rnorm(60, mean = 1, sd matrix(rnorm(60, mean = 5, sd matrix(rnorm(60, mean =10, sd colnames(x) <- c("A", "B") cl <- kmeans(x, 3) plot(x, col = cl$cluster) points (cl$centers, col = 1:3, pch = 10, = 0.4), ncol = 2), = 0.3), ncol = 2), = 0.5), ncol = 2)) cex=2) 3. Draw the 2-kore subgraph of the following graph on the right side. 4. 5. Draw the highest k-kore of the following graph on the right side. Calculate Betweenness and Eigenvector centralities of the nodes of the following grapg using CentiBiN: