define the 2*2 matrix, B=(1 4, 3 2)
Question
define the 2*2 matrix, B=(1 4, 3 2)
Solution
In R, you can define a matrix using the matrix() function. Here are the steps to define the 2x2 matrix B = (1 4, 3 2):
Step 1: Open R or RStudio.
Step 2: Define the elements of the matrix using the c() function. The c() function combines its arguments to form a vector.
b_elements <- c(1, 3, 4, 2)
Step 3: Convert the vector to a matrix using the matrix() function. The matrix() function creates a matrix from the given set of values.
B <- matrix(b_elements, nrow=2, ncol=2, byrow = TRUE)
In this command, nrow=2 specifies that the matrix should have 2 rows, and ncol=2 specifies that the matrix should have 2 columns. The byrow = TRUE argument specifies that the matrix should be filled by rows.
Step 4: Print the matrix.
print(B)
This will output:
[,1] [,2]
[1,] 1 4
[2,] 3 2
This indicates that the 2x2 matrix B = (1 4, 3 2) has been successfully defined in R.
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