Matrix Multiplication In C Mcq Exercise 4

• ✅ Loop unrolling and blocking
• ✅ Using the same dimension matrices
• ✅ Reducing the matrix size

Explanation:

The correct answer is option (b). Optimized matrix multiplication on modern hardware often uses techniques, such as blocking and loop unrolling to reduce computational cost and maximize cache performance

1. Which of the following statements will correctly check whether the matrix multiplication is possible for matrices A and B?

• ✅ if (rowsA == colsB)
• ✅ if (colsA == rowsB)
• ✅ if (rowsA == rowsB)
• ✅ if (colsA == colsB)

Explanation:

The correct answer is option (b). Matrix multiplication is only possible when several columns in matrix A are equal to the number of rows in matrix B.

1. Which of the following functions can be used to allocate an array dynamically in C?

• ✅ malloc
• ✅ calloc
• ✅ realloc
• ✅ Both malloc and calloc

Explanation:

The correct answer is option (d). Both malloc and calloc functions are used to allocate memory dynamically to an array.

1. Which of the below options describes the transpose of the matrix?

• ✅ Flipping the matrix horizontally
• ✅ Flipping the matrix vertically
• ✅ Interchanging rows and columns
• ✅ Doubling the matrix elements

Explanation:

The correct answer is option (c). Interchanging the rows and columns of the matrix will give the transpose of a matrix.

1. From the fourth row and third column of a matrix in mat4, how can we get the elements?

• ✅ A4
• ✅ A3
• ✅ A3
• ✅ A2

Explanation:

The correct answer is option (a). In C, the array index gets started from 0, so the elements in the fourth row and the third column can be accessed as mat3.

1. Which of the below options are properties of matrix multiplication?

• ✅ Commutative
• ✅ Associative
• ✅ Distributive over addition
• ✅ Both associative and distributive addition

Explanation:

The correct answer is option (d). Matrix multiplication is associative and distributive over addition but not commutative.

1. What is the total amount of bytes consumed by a matrix if it is expressed as an int matrix5?

• ✅ 30 bytes
• ✅ 56 bytes
• ✅ 120 bytes
• ✅ 60 bytes

Explanation:

The accurate choice is alternative (c). If the integer occupies 4 bytes, the total memory size will be 5 multiplied by 6 multiplied by 4, resulting in 120 bytes.