Which of the following matrix multiplication algorithm is faster Mcq?

What is the time complexity of the fastest known matrix multiplication algorithm? d) O(n!) Explanation: The Coppersmith-Winograd algorithm multiplies the matrices in O(n2.37) time.

Why is Strassen’s algorithm for matrix multiplication better?

The results show that Strassen’s algorithm needs more memory allocations than the conventional algorithm, due to the fact in design that more arrays need to be created. I. Introduction The multiplication of two matrices is one of the most important operations in linear algebra.

Why is Strassen matrix multiplication better?

Strassen’s matrix multiplication (MM) has benefits with respect to any (highly tuned) implementations of MM because Strassen’s reduces the total number of operations. An additional advantage of our algorithm is that it applies to any size and shape matrices and works equally well with row or column major layout.

Which of the following sorting algorithms is the fastest?

Explanation: Because of its highly optimised inner loop, Quick Sort is the fastest known sorting algorithm.

What type of algorithm is Strassen’s algorithm?

Explanation: Strassen’s Algorithm for matrix multiplication is a recursive algorithm since the present output depends on previous outputs and inputs.

Why is matrix multiplication faster?

As matrices grow larger, the number of multiplications needed to find their product increases much faster than the number of additions. While it takes eight intermediate multiplications to find the product of two-by-two matrices, it takes 64 to find the product of four-by-four matrices.

Why Strassen’s matrix multiplication is more efficient than normal matrix multiplication?

How Strassen’s matrix multiplication is better than normal matrix multiplication?

When the size of the matrices to be multiplied is 2×2, Strassen’s algorithm carries out 7 multiplications and 24 additions, whereas the regular multiplication requires 8 multiplications and 4 additions.

What is the best algorithm for matrix multiplication?

Matrix Multiplication Algorithm: Start Declare variables and initialize necessary variables Enter the element of matrices by row wise using loops Check the number of rows and column of first and second matrices If number of rows of first matrix is equal to the number of columns of second matrix, go to step 6. Multiply the matrices using nested loops.

Is scalar multiplication of matrices commutative?

A scalar is a number, not a matrix. The matrix can be any order. Multiply all elements in the matrix by the scalar. Scalar multiplication is commutative. Scalar multiplication is associative.

What does multiplication of matrices mean?

Matrix multiplication. In mathematics, matrix multiplication or matrix product is a binary operation that produces a matrix from two matrices with entries in a field, or, more generally, in a ring or even a semiring.