Matrix Multiplication In C Mcq Exercise 1

• ✅ int matrix(10)(10);
• ✅ int matrix[10];
• ✅ int matrix10;

Explanation:

The correct answer is option (d). The right way to declare a 2d array is use to a matrix10 to generate a 10X10 matrix.

1. What is the matrix multiplication of m*m matrices' time complexity?

• ✅ O(m)
• ✅ O(m^2)
• ✅ O(m^3)
• ✅ O(m^4)

Explanation:

The correct answer is option (c). The standard multiplication matrix in C has a time complexity of O(n^3), where n represents the number of rows or columns in a square matrix.

1. Which of the below expressions are required to initialize a resulting matrix C of dimensions mXp before doing multiplication?

• ✅ int Cm = {0};
• ✅ int Cm = {};
• ✅ int Cm;
• ✅ int Cm = {1};

Explanation:

The correct answer is option (a). Initializing C with {0} ensures that all the elements of the matrix are set to 0, which is necessary before storing the results of the multiplication.

1. How can the elements in a matrix that are in the third row and fourth column be accessed in C?

• ✅ matrix(3, 4)
• ✅ matrix[3, 4]
• ✅ matrix2
• ✅ matrix(2)(3)

Explanation:

To arrive at the correct solution, option (c) must be selected. This is due to the fact that in C programming, array indexing starts at 0. Therefore, when referencing the matrix 2, it is actually accessing the elements in the third row and fourth column.

1. What is the number of nested loops needed to execute matrix multiplication in C programming?

Explanation:

The correct answer is option (c). Typically, three nested loops are required for matrix multiplication, a row of the loops is used to iterate over the rows and columns of the resulting matrix, and the third loop is used to compute the matrix result.

1. What is the primary rule for the multiplication of two matrices in C Programming?

• ✅ There should be an equal number of rows in matrix A and columns in matrix B.
• ✅ There should be an equal number of rows in matrix B and columns in matrix A.
• ✅ There should be an equal number of columns in A and B.
• ✅ There should be an equal number of rows in both the matrices A and B.

Explanation:

For determining the number of matrices in a C array, it is crucial that the number of rows in the initial matrix A matches the number of columns in the subsequent matrix B. This requirement guarantees the matrices' compatibility for multiplication, with each cell in the resulting matrix representing the intersection point of the respective row and column.