Consider the following C program which is supposed to...

Consider the following $C$ program which is supposed to compute the transpose of a given $4 \times 4$ matrix $M$. Note that, there is a $Y$ in the program which indicates some missing statements. Choose the correct option to replace $Y$ in the program.

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Key Concepts

Matrix Transposition

Matrix transposition is an operation in which a matrix's rows and columns are interchanged. In programming, this involves swapping elements at positions (i, j) with those at (j, i), thereby creating a new matrix where the element order is transformed relative to its original placement.

In-Place Element Swapping

In-place element swapping is a technique used to exchange the values of two elements without the use of additional data structures beyond a temporary variable. This method is crucial in algorithms that modify data structures directly, such as when transposing a square matrix where elements need to be swapped across the main diagonal.

Nested Loop Iteration

Nested loops are frequently used in programming to traverse two-dimensional arrays or matrices. Each loop handles one dimension—for example, one for rows and one for columns—allowing repeated operations on each element, which is essential for tasks such as computing the transpose of a matrix.

Array Indexing in C

Array indexing in C involves accessing elements of an array using a zero-based index system. Proper indexing is critical when manipulating matrices, ensuring that each element is correctly referenced during operations like swapping in the transposition process.

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