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 ...

Anthocyanin-rich purple foods contain plant pigments that influence antioxidant and inflammatory pathways and are linked in ...

Candidates preparing for JEE Advanced 2026 can download the official syllabus PDF from jeeadv.ac.in, released by IIT Roorkee.

Price discovery, renewed demand for office and lower borrowing costs drove lending and sales clean past macro headwinds.

But as motorcycles evolved, helmets didn’t. Until 6D arrived. First came the ATS-1 helmet; now there’s the completely ...

Background Few studies have investigated patient-reported non-motor outcomes after stroke in young adults. We aimed to assess ...

Blood-based Biomarker for Alzheimer’s Disease Market to reach US$ 554.2 Mn by 2035 at 14.3% CAGR, driven by demand for ...

The authors provide a useful integrated analytical approach to investigating MASLD focused on diverse multiomic integration methods. The strength of evidence for this new resource is solid, as ...

We conclude that brain states are shaped by local circuit mechanisms, large-scale connectivity and neuromodulation. A unified multiscale theory of cortical dynamics is relevant not only for ...

The literature has long viewed gold as an inflation hedge. The reasoning is that when inflation rises due to macroeconomic ...

Define the Standard Model gauge group to be S ( U ( 2) × U ( 3)), the subgroup of SU ( 5) consisting of block diagonal matrices with a 2 × 2 block and then a 3 × 3 block. (This is isomorphic to the ...