Question:
Your assignment MUST be completed in R. Submissions in Word or…
Your assignment MUST be completed in R. Submissions in Word or Excel will not be accepted. Submit only your R code, with your answers included in the code as a comment (using the # symbol).
Question : Assumes the following matrix
Z=
⎣500 350 110⎤
⎢320 350 20 ⎥
⎡-5 -64 34 ⎦
and the vector of constants
b=
⎣1097 ⎦
⎢453⎥
⎡117⎤
Let us now consider the summation vector i of appropriate dimension, as well as the vector of unknown constants d. What are the values of the vector d if
a) Our equation system is Zi+d=b ?
b) Our equation system is iTZ+dT=bT ?
you have to find the questions using matrix calculation concepts in R
Solution:- R Matrix and Vector of Constants Assignment
To find the values of the vector d for the equation systems Zi+d=b and iTZ+dT=bT, you can use matrix calculations in R. Here’s the R code to solve both parts of the problem:
# Define the matrix Z and vector b
Z <- matrix(c(500, 320, -5, 350, 360, -64, 110, 20, 34), nrow = 3, ncol = 3)
b <- c(1097, 453, 117)
# a) Solve for d in Zi + d = b
d_a <- solve(Z, b)
# b) Solve for d in iTZ + dT = bT
iT <- t(Z) # Transpose of Z
dT <- t(b) # Transpose of b
d_b <- solve(iT, dT)
# Print the results
cat("a) Vector d for Zi + d = b:", d_a, "\n")
cat("b) Vector d for iTZ + dT = bT:", d_b, "\n")
In this code:
The results will be printed, showing the values of the vector d for both equation systems.