Create following two matrices A and B with following elements.
Write R commands to do the following tasks:
(i) Multiply the two matrices.
(ii) Combine the two matrices row-wise.
(iii) Create a function that computes the following expression:
A = $\begin{pmatrix}1 & 2\\0 & 1\end{pmatrix}$, B = $\begin{pmatrix}-3 & 1\\2 & -1\end{pmatrix}$ (i) Multiply A and B: $$ A \cdot B = \begin{pmatrix}1 & 2\\0 & 1\end{pmatrix} \begin{pmatrix}-3 & 1\\2 & -1\end{pmatrix} = \begin{pmatrix}(1)(-3) + (2)(2) & (1)(1) + (2)(-1)\\ (0)(-3) + (1)(2) & ______ ________ __________ ________ ________ __________ _______ ______ ____ _____ __________ _________.
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Write the output of the following statements:
(i) rep(x=c(T, F, T, F), times=c(2,1,2,3))
(ii) 5%/%3; diag (3)
(b) Differentiate between the use of the sep and collapse arguments of the paste() function.
(c) Write R commands to create a bar plot of the following data by using arguments of the used function for filling up the bars and to give labels to the axis:
5, 10, 8, 7, 8, 5, 8, 7, 5, 8, 9, 6, 8, 8, 8
(d) Check whether the given loop is finite or infinite. If infinite, do the necessary changes in the written loop to make it finite.
x<-0
repeat{
print(x^2)
x<-x+1
if(x<5) print(x) }2.
Create a date object named Ddata consisting of the following dates.
26Jan2023, 15Aug2023, 020ct2023, 05Sep2023
The following data relates to the number of items produced per shift by two workers for a number of days.
| Worker A | 19 | 22 | 24 | 27 | 24 | 18 |
| Worker B | 26 | 37 | 40 | 35 | NA | NA |
Create following two matrices A and B with following elements.
Write R commands to do the following tasks:
(i) Multiply the two matrices.
(ii) Combine the two matrices row-wise.
(iii) Create a function that computes the following expression:
Create a function to compute ranks (in case of tied ranks) of the given data.
Create a data frame named RData consisting of the following data:
Write R commands to:
(i) Compute the group wise means of x, y and z according to the groups defined by w column using apply family function.
(ii) Sort RData according the y column of it.
Write R command to create a data frame named DF with worker's data and do the following tasks:
(i) Use suitable function to remove NA from the data and then create a scatter plot.
(ii) Write the known data obtained in step (i) to a.txt file named "WORK".