Create following two matrices A and B with following elements.A=,B

Question

Create following two matrices A and B with following elements.

A= $\binom{1,2}{0,1}$ ,B= $\binom{-3,1}{2,-1}$

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 ²+3*B

X	Y	Z	W
0.04	0.16	0.53	A
0.82	0.87	0.84	A
0.32	0.65	0.99	A
0.39	0.83	0.42	A
0.31	0.93	0.78	A
0.83	0.31	0.41	A
0.73	0.74	0.88	A
0.32	0.39	0.50	B
0.60	0.85	0.68	B
0.65	0.28	0.86	B
0.55	0.95	0.77	B
0.53	0.35	0.32	B
0.91	0.01	0.91	B
0.84	0.61	0.37	B

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.

08 Sep 2023

Answer :

Word Count : 372

To perform the tasks outlined in the question using R, you can follow these steps:

1. Create Matrices A and B:

# Create matrices A and B
A <- matrix(c(1, 2, 0, 1), nrow = 2, ncol = 2, byrow = TRUE)
B <- matrix(c(-3, 1, 2, -1), nrow = 2, ncol = 2, byrow = TRUE)

2. Multiply the two matrices (i):

# Multiply matrices A and B
result <- A %*% B

3. Combine the two matrices row-wise (ii):

# Combine matrices A and B row-wise
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Worker A	19	22	24	27	24	18
Worker B	26	37	40	35	NA	NA