Solution: det (A) = −5, and for n×n matrix adj (A) has determinant (det A)^ (n−1). Here n = 3, so det (B) = (−5)^ (2) = 25.

The Mathematics section of the JEE Main 2026 exam is often the deciding factor in securing a top rank. Many students struggle with the vast syllabus, making it difficult to know where to focus their ...

Abstract: For every simple connected graph, we present a polynomial time algorithm for computing a numerical index, which is composed of primary and secondary parts. Given a graph G = (V, E) where V ...

Abstract: The exact-repair regenerating codes for distributed storage system are studied in this work. A novel coding scheme is proposed for code construction for any (n, k, d = k) system. It is shown ...

This program implements the Gaussian Elimination algorithm, a fundamental method in linear algebra for solving systems of linear equations, determining matrix inverses, and calculating determinants.

In unincorporated communities in the United States-Mexico borderlands, historically and socially marginalized populations become invisible to the healthcare system, showing that geography acts as a ...

Warner Bros. is going back to the Matrix. The studio announced that a fifth “Matrix” movie is in development. It’ll be the first installment without Lana or Lily Wachowski as directors. Instead, “The ...

Warner Bros. is ready to re-enter The Matrix. A new "Matrix" film is in the works at Warner Bros. Pictures, with Drew Goddard ("The Cabin in the Woods") set to write and direct, the studio revealed on ...