Mack's Stats

1. Matrix Addition and Subtraction:

• Given two matrices ( A ) and ( B ), the objective is to perform addition and subtraction between them.
• Matrix addition and subtraction involve adding or subtracting corresponding elements of the matrices.
• I used the + operator for addition and the - operator for subtraction in R.
• The resulting matrices will have the same dimensions as the original matrices.
• The code creates matrices ( A ) and ( B ), performs addition and subtraction, then prints the results.

1. Creating a Diagonal Matrix:

• The task is to create a square matrix with specified values along the diagonal and zeros elsewhere.
• I usde the diag() function in R to create such matrices.
• The diag() function takes a vector of values as input and constructs a diagonal matrix using those values.
• The resulting matrix is printed to verify correctness.

1. Creating the Diagonal Matrix (Filled with 3s):

• I started by creating a 5×5 matrix with 3s along the main diagonal (from top-left to bottom-right).

• Filling the Upper Triangle (with 1s):

• I identified and filled the upper triangle of the matrix with 1s.
• The upper triangle includes all elements above the main diagonal.

• Filling the Lower Triangle (with 2s):

• Similarly, I identified and filled the lower triangle of the matrix with 2s.
• The lower triangle includes all elements below the main diagonal.

• After filling the upper and lower triangles, I obtained the desired matrix pattern.

GitHub Repository:

https://github.com/mramalho4/rprog-repo.git