Table of Contents
- 1 What is the computational complexity of the matrix multiplication is?
- 2 Is there any advantage for Strassen’s matrix multiplication over ordinary matrix multiplication?
- 3 What is the big O which means the order of the algorithm complexity of using matrix multiplication by using the fastest matrix multiply algorithm known to date )?
- 4 Which of the following property does not hold for matrix multiplication?
What is the computational complexity of the matrix multiplication is?
As of December 2020, the matrix multiplication algorithm with best asymptotic complexity runs in O(n2.3728596) time, given by Josh Alman and Virginia Vassilevska Williams, however this algorithm is a galactic algorithm because of the large constants and cannot be realized practically. …
What is the best matrix multiplication algorithm?
In linear algebra, the Strassen algorithm, named after Volker Strassen, is an algorithm for matrix multiplication. It is faster than the standard matrix multiplication algorithm for large matrices, with a better asymptotic complexity, although the naive algorithm is often better for smaller matrices.
Why matrix multiplication is not a group?
matrices over a field form an algebra over . They’re an Abelian group under addition, but even the non-zero elements aren’t a group under multiplication because not every has an inverse.
Is there any advantage for Strassen’s matrix multiplication over ordinary matrix multiplication?
Strassen’s Matrix Multiplication, SMM, is used to multiply two matrices, and it is better than Native matrix multiplication. The reason for this is because the number of operations required in SMM is less than in usual multiplication.
Is Strassen’s matrix multiplication divide and conquer?
Strassen’s matrix is a Divide and Conquer method that helps us to multiply two matrices(of size n X n).
What is the time complexity of matrix multiplication problem using divide and conquer technique?
Explanation: the time complexity of recursive multiplication of two square matrices by the divide and conquer method is found to be o(n3) since there are total of 8 recursive calls.
What is the big O which means the order of the algorithm complexity of using matrix multiplication by using the fastest matrix multiply algorithm known to date )?
The fastest known matrix multiplication algorithm is Coppersmith-Winograd algorithm with a complexity of O(n2.3737). Unless the matrix is huge, these algorithms do not result in a vast difference in computation time. In practice, it is easier and faster to use parallel algorithms for matrix multiplication.
What is the drawback of finding inverse by adjoint method?
Explanation: The main drawback is that it needs a lot of calculations and hence it is lengthy, so new faster methods are developed to remove this drawback.
Which of the following does not hold for matrix multiplication?
Discussion Forum
| Que. | Which of the following property does not hold for matrix multiplication? |
|---|---|
| b. | Distributive |
| c. | Commutative |
| d. | None of the mentioned |
| Answer:Commutative |
Which of the following property does not hold for matrix multiplication?
commutative property
When using this property, be sure to pay attention to the order in which the matrices are multiplied, since we know that the commutative property does not hold for matrix multiplication!