{"id":11470,"date":"2022-12-29T06:07:40","date_gmt":"2022-12-29T06:07:40","guid":{"rendered":"https:\/\/www.prepbytes.com\/blog\/?p=11470"},"modified":"2023-04-18T13:21:29","modified_gmt":"2023-04-18T13:21:29","slug":"c-program-for-matrix-addition","status":"publish","type":"post","link":"https:\/\/prepbytes.com\/blog\/c-program-for-matrix-addition\/","title":{"rendered":"C Program for Matrix Addition"},"content":{"rendered":"

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The addition of matrices is a crucial operation in linear algebra and finds widespread use in fields like physics, engineering, and computer science. This article explores the topic of matrix addition and demonstrates how to implement it in the C programming language. To provide a robust conceptual understanding of the topic, this article also covers the dry run of matrix addition in C, the algorithm for matrix addition in C, and the complexity analysis of C program for matrix addition.<\/p>\n

About Matrices<\/h2>\n

A matrix is a rectangular array consisting of numbers, symbols, variables, or expressions arranged in rows and columns. The size of a matrix is defined by the number of rows and columns it contains. For example, a matrix of size 2×3 has two rows and three columns. The elements of a matrix are usually denoted by their row and column positions, such as A[i,j], where i denotes the row number and j denotes the column number.<\/p>\n

Matrices can be added, subtracted, multiplied, and transposed. The addition and subtraction of matrices involve adding or subtracting the corresponding elements of two matrices to obtain a new matrix. The multiplication of matrices is a more complex operation that involves the multiplication of rows and columns of two matrices to obtain a new matrix.<\/p>\n

Dry Run of Matrix Addition in C<\/h2>\n

Suppose there are two matrices, namely A and B where Matrix A is [[2,4],[3,9]]. On the other hand, matrix B consists of the values [[3,5],[3,9]]. In order to add the matrix, there must be a point to keep in mind if the number of rows and columns or dimension of matrix share the same value in both the matrices or not as inequality of matrix dimension cannot make matrix addition possible.<\/p>\n

To add the matrices, we start from coordinates (0,0) and traverse until (n-1,m-1) of both the matrices where n is the total number of rows and m is the total number of columns. We maintain a storage matrix to store the result from addition operations.<\/p>\n

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We add the elements at row 0 and column 0 i.e. 2+3 equals to 5.<\/p>\n

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We add the elements at row 0 and column 1 i.e. 4+5 equals to 9.<\/p>\n

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We add the elements at row, 1 and column,0 i.e. 3+3 equals to 6.<\/p>\n

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We add the elements at row, 1 and column,1 i.e. 9+9 equals to 18.<\/p>\n

In this manner, we get matrix C as the result with added values from both matrix A and matrix B.<\/p>\n

Algorithm for Matrix Addition in C<\/h2>\n

The algorithm for matrix addition in C is as follows:<\/p>\n