Google’s DeepMind has been using applied reinforced learning techniques to the multiplication of mathematical matrices and can do it better than some 50 year-old human-made algorithms. Bored with ...

A determinant can be defined in various ways for a square matrix. One straightforward method involves using the elements of the first row and their corresponding minors. Start by multiplying the first ...

A pair of researchers have found a more efficient way to multiply grids of numbers, beating a record set just a week ago by the artificial intelligence firm DeepMind. The company revealed on 5 October ...

Here we are providing NCERT Exemplar Solutions for all the questions of Class 12 Mathematics Chapter 3 – Matrices. These questions are solved by experienced subject experts of Mathematics in the most ...

This paper provides an analogue to the well-known theorem that commuting matrices over the complex numbers have an eigenvector in common. This analogue applies to the case where it is known only that ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...