Maths

Let A be an n×n matrix PA (λ)
be its characteristic polynomial. Then the characteristic polynomial is given by
wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==
pA(λ)=det(λI−A)p sub cap A open paren lambda close paren equals det of open paren lambda cap I minus cap A close paren
𝑝𝐴(𝜆)=det(𝜆𝐼−𝐴)
Expanding this determinant, we can write it as a polynomial in λ:
wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==
λlambda
wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==
pA(λ)=anλn+an−1λn−+a1λ+a0p sub cap A open paren lambda close paren equals a sub n lambda to the n-th power plus a sub n minus
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scimfw

3.1 7 types of electro magnic                                                 

 gamma-ray-highly energetic form of electromagnetic radiation. uv-nails and skin cancer.    infared- night vision, help see if painting fake. x-ray- see inside you or bones. Microwave- cook food and can go outer space. visible light -the portion of the electromagnetic spectrum that the human eye can perceive radio wave-a type of electromagnetic radiation that exist in the lowest frequency,

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eee2e

"The present was an egg laid by the past that had the future inside its shell."

Part I: Why I Chose This Quote

I chose this quote because it captures the flow of time in a powerful and poetic way.

 It reminded me that nothing exists in isolation — everything happening now is a result

 of something that came before, and everything we do now shapes what’s coming next.

Personally, it made me think about how my own life is constantly being shaped by past

 experiences, decisions,

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Auditing and corporate governance

1. What is meant by vouching (2 marks)

Vouching refers to the process of checking the authenticity of transactions recorded in the books of accounts using supporting documents. It ensures accuracy and reliability in financial reporting.

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2. Features of a good internal check system (5 marks — 6 points)

1. Division of work: Duties are distributed to prevent overlapping.

2. Checks and balances: One employee’s work is automatically checked by another.

3. Responsibility fixing: Each employee

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Sovilbu

Contribution of Saint Simon in Sociology

Henri de Saint-Simon (1760–1825), a French thinker, is considered one of the early founders of sociology. Though not a sociologist in the modern sense, his ideas laid important groundwork for the development of the discipline. His work focused on society, social change, industrial development, and the role of science in social progress. Major Contributions of Saint-Simon:

1. Founding Father of Social Science : Saint-Simon is considered among the first

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internet of things

A. Identification Protocols in IoT

These protocols help in uniquely identifying devices in an IoT system so that each device can be tracked, authenticated, or managed.

1. IPv6 (Internet Protocol version 6)

  • Each IoT device needs a unique IP address.

  • IPv6 supports trillions of addresses, ideal for billions of IoT devices.

  • Devices can auto-generate their address using SLAAC (Stateless Address Auto Configuration).

2. EPC (Electronic Product Code)

  • Used in RFID systems.

  • Uniquely identifies

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mto2 final

Physical Adsorption (Physisorption):  1.It occurs due to weak van der Waals forces between the adsorbent and adsorbate. 2.The enthalpy of adsorption is low, typically between 20–40 kJ/mol.  3.It is usually non-specific and can occur on many types of surfaces. 4.It is reversible in nature and can be undone by changing pressure or temperature. 5.Physisorption is favored at low temperatures. 6.It can result in the formation of multiple layers of adsorbed molecules. 7.Little to no activation energy

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filosofia

-En Plató, la societat comença per cobrir les necessitats materials, com l’alimentació i la producció, però el seu propòsit és un ordre superior i transcendent. Guiats per la saviesa i la justícia, els filòsofs governants busquen el bé en si mateixos, assegurant que la societat no només funcioni materialment, sinó que també reflecteixi un ordre harmoniós i just.

-En Plató, els productors compleixen la funció d’especialitzar-se en la producció de béns i serveis, cobrint les

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ktffy5r i

Cannibalism..... You and I know this term. Some know more than others. The history of this topic runs so deep and is so much more than just a grave disease or illness. In fact, cannibalism has inspired people to create stories, make legends, and as a result, has become a part of our history and religious cultures.

But what if I told you that cannibalism can lead to something even more horrifying? Something associated with a creature straight out of a never-ending nightmare. But what if this nightmare

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