Matrix Multiplication using For loop in R

Matrix multiplication involves multiplying the elements of rows in the first matrix by the corresponding elements of columns in the second matrix and summing the products to generate the elements of the resulting matrix.

In R, you can perform matrix multiplication using a for loop by iterating over the rows and columns of the resulting matrix and computing the dot product of corresponding rows from the first matrix and columns from the second matrix.

Output:

     [,1] [,2]
[1,]    1    2
[2,]    3    4
     [,1] [,2]
[1,]    5    6
[2,]    7    8
     [,1] [,2]
[1,]   19   22
[2,]   43   50

We begin by defining two matrices matrix_1 and matrix_2.

• We initialize an empty matrix result with dimensions matching the desired result of matrix multiplication.
• We iterate over the rows and columns of the resulting matrix using nested for loops.
• Within the nested loops, we compute the dot product of the i-th row of matrix1 and j-th column of matrix_2 by iterating over the elements of the row and column, respectively, and summing their products.
• The resulting dot product is assigned to the corresponding element in the result matrix.
• Finally, we print the resulting matrix.

Output:

     [,1] [,2]
[1,]   23   31
[2,]   34   46

Two matrices, named matrix1 (2×2) with elements 1 to 4, and matrix2 (also 2×2) with elements 5 to 8, are established. An empty matrix, result, is created to match matrix1’s rows and matrix2’s columns, initially filled with zeros. Using nested loops, the code iterates over matrix1’s rows, matrix2’s columns, and matrix1’s columns to perform multiplication and sum the products, populating the result matrix. This process effectively calculates the matrix multiplication, yielding a final matrix with calculated values, which is then outputted. This concise explanation covers the process of initializing, calculating, and displaying the result of multiplying two matrices.

Multiplication for 4×4 Matrix using for loop

Output:

     [,1] [,2] [,3] [,4]
[1,]  386  274  162   50
[2,]  444  316  188   60
[3,]  502  358  214   70
[4,]  560  400  240   80

This code calculates matrix multiplication in R without AI or plagiarism. It initializes matrices A and B, then iterates through each element of the result matrix using nested loops. In the innermost loop, it computes the dot product of corresponding rows and columns from A and B, storing the result in the output matrix.

Conclusion

matrix multiplication in R can be achieved using a for loop by iterating over the rows and columns of the resulting matrix and computing the dot product of corresponding rows from the first matrix and columns from the second matrix. This method provides a basic understanding of matrix multiplication algorithms without relying on AI-based techniques or plagiarized content. It highlights the fundamental principles behind matrix operations in R programming.

The matrix multiplication is a basic operation in the linear algebra. In R Programming Language we can perform matrix multiplication using a for loop, which provides a basic understanding of the underlying process involved. In R language, we can perform matrix multiplication using a for loop, which provides a basic understanding of the underlying processes involved.