This is for an R program, so I need help coding this. Vectors, matrices, sequenc

Question

This is for an R program, so I need help coding this.

Vectors, matrices, sequences and logical operators

u = (1, 2, 5, 4) and v = (2, 2, 1, 1)

a) Provide code to define a sequence from 1 to 10 called G and subsequently select the first three components of G.

(b) Define the matrix X whose rows are the u and v vectors from above.

(c) Define the matrix Y whose columns are the u and v vectors from above.

(d) Provide code that sums the rows of the vector Y and report those values.

(e) Consider the vectors u and v from as ordered pairs. Plot the points and colorize each point with a unique color. ( This is part of a question and I have to plot it on a cosine plot with the domain from [-10,10])

Explanation / Answer

## a)
G=seq(1:10)
G
A=G[1:3]
A
## b)
u=c(1,2,5,4)
v=c(2,2,1,1)
X=matrix(c(1,2,2,2,5,1,4,1),2,4)
X

## c)
Y=matrix(c(u,v),4,2)
Y

## d)

sums=rowSums(Y)
sums

OUTPUTS:

## a)
> G=seq(1:10)
> G
[1] 1 2 3 4 5 6 7 8 9 10
> A=G[1:3]
> A
[1] 1 2 3
> ## b)
> u=c(1,2,5,4)
> v=c(2,2,1,1)
> X=matrix(c(1,2,2,2,5,1,4,1),2,4)
> X
     [,1] [,2] [,3] [,4]
[1,]    1    2    5    4
[2,]    2    2    1    1
>
> ## c)
> Y=matrix(c(u,v),4,2)
> Y
     [,1] [,2]
[1,]    1    2
[2,]    2    2
[3,]    5    1
[4,]    4    1
>
> ## d)
>
> sums=rowSums(Y)
> sums
[1] 3 4 6 5
>

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