Question

By using the R-Studio answer the following question:

1. a) write a simple loop to list the squares of the first 10 integers.

b) Generate the 10*10 matrix A, whose (i;j) entry is sin(2*pi*(i-j))

Answer 1

1

print("This loop calculates the square of the first 10 digits")

# Initialize usq

usq <- 0

for(i in 1:10) {

# i-th element of u1 squared into i`-th position of `usq

usq[i] <- i*i

print(usq[i])

}

2.

# Create a 10 x 10 matrix

mymat <- matrix(nrow=10, ncol=10)

# For each row and for each column, assign values based on position: product of two indexes

for(i in 1:dim(mymat)[1]) {

for(j in 1:dim(mymat)[2]) {

mymat[i,j] = sin(2*pi*(i-j))

}

}

# Just show the matrix

mymat[1:10, 1:10]