Q1. Cayley-Hamilton Theorem - Verify and Find Inverse Problem: Verify Cayley-Hamilton theorem for A and find A-1:
A = [[2,1,1], [0,1,0], [1,1,2]]
Step 1: Find Characteristic Equation |A - λI| = 0
Expand along 2nd row (has two zeros - easier!):
ISHOD 1 – Upravljanje poslovnim učinkom
1. Područja / metode / tehnike poslovne inteligencije (5) Izvještavanje (Reporting) – služi za prikaz povijesnih podataka kroz standardne i ad-hoc izvještaje te omogućuje praćenje osnovnih poslovnih pokazatelja. OLAP analiza – omogućuje višedimenzionalnu analizu podataka i dublje razumijevanje poslovnih rezultata kroz drill-down i roll-up operacije. Dashboardi i vizualizacija – pružaju vizualni prikaz ključnih pokazatelja performansi (KPI)
1.ISOMERISM:-The organic compounds having the same molecular formula but having different structural formula or we can say having different physical and chemical properties are called Isomers and the phenomenon is known as Isomerism. Classification of Isomerism:-Isomerism are classified into two categories:-1.Structural 2.Isomerism Stereoisomerism (ISOMERISM)-(Structural Isomerism)-Chain Isomerism, Position Isomerism, Functional Isomerism, Ring- Chain Isomerism,Metamerism, Tautomerism.(Stereoisomerism)
People often call the UK “Britain” or even “England,” but that is not strictly right: England is only one of four nations (England, Scotland, Wales, and Ireland), and the full political union was completed by 1800.
Historically, these nations differed ethnically: Ireland, Wales, and the Scottish Highlands were mainly Celtic, while England and the Scottish Lowlands were mostly of Germanic origin.
These differences showed up in languages (Irish, Gaelic, Welsh versus Germanic dialects that
...**[ADJUSTED TRIAL BALANCE FORMAT]:[Debit Column]:Cash:Accounts Receivable:Interest Receivable:Notes Receivable (short-term):Supplies:Prepaid Insurance:Prepaid Rent:Merchandise Inventory:Debt Investments (short-term):Land:Buildings:Equipment:Vehicles:Patents:Copyrights:Trademarks:Goodwill:Dividends:Cost of Goods Sold:Wages Expense:Salaries Expense:Depreciation Expense—Buildings:Depreciation Expense—Equipment:Insurance Expense:Utilities Expense:Interest Expense:Supplies Expense:Rent Expense:Advertising
m1)Define Blockchain? Briefly explain the architecture of Block chain????????
Blockchain is a distributed and shared ledger where data is stored in blocks. Each block is linked to the previous one, and data can be updated only with the agreement of all nodes. Once stored, data is very difficult to change, and no central authority is required.
Architecture of Blockchain:
1. Internet layer : Provides basic communication between nodes.
2. Peer-to-peer network : All nodes connect directly without a
1. Importance of Communication in One’s Life (3 Marks)
Communication plays a very important role in a person’s life. It helps people express their thoughts, feelings, and ideas clearly.
Points:
Communication helps in sharing information and knowledge.
It builds strong personal and social relationships.
Good communication improves understanding among people.
It helps in solving problems and avoiding misunderstandings.
Communication is necessary for education and learning.
It plays an important role in...
This unit introduces the discipline and the core dynamics of how people are governed.
Definition & Scope: Political Science is the study of the state, government, and the distribution of power. Its scope ranges from local governance to international relations.
Power, Authority, & Legitimacy:
Power: The ability to influence others to do what they otherwise wouldn't.
Authority: "Legitimated power." It is power that is recognized as rightful
Q-1: Structure of a C Program
A C program follows a specific hierarchical structure to ensure the compiler understands how to process the code.
* Documentation Section: Contains comments (e.g., /* author name */) explaining the program's purpose.
* Link Section: Includes header files using #include (e.g., <stdio.h>) to use built-in functions like printf.
* Definition Section: Where symbolic constants are defined using #define.
* Global Declaration Section: Variables or functions declared