1. Row Matrix – A matrix with only one row.
Example:
2. Column Matrix – A matrix with only one column.
Example:
3. Square Matrix – A matrix with the same number of rows and columns (n × n).
Example: 3 × 3 matrix.
4. Rectangular Matrix – A matrix with a different number of rows and ...
1. Row Matrix – A matrix with only one row.
Example:
2. Column Matrix – A matrix with only one column.
Example:
3. Square Matrix – A matrix with the same number of rows and columns (n × n).
Example: 3 × 3 matrix.
4. Rectangular Matrix – A matrix with a different number of rows and columns (m × n, where m ≠ n).
5. Zero Matrix (Null Matrix) – All elements are zero.
Example:
6. Diagonal Matrix – A square matrix where all non-diagonal elements are zero.
7. Scalar Matrix – A diagonal matrix where all diagonal elements are equal.
8. Identity Matrix – A square matrix with 1’s on the main diagonal and 0’s elsewhere.
9. Upper/Lower Triangular Matrix – In upper triangular, all elements below the main diagonal are zero; in lower triangular, all elements above are zero.
10. Symmetric Matrix – A square matrix that is equal to its transpose (A = Aᵀ).
11. Skew-Symmetric Matrix – A square matrix where Aᵀ = –A.
12. Singular Matrix – A square matrix whose determinant is zero (non-invertible).
13. Non-Singular Matrix – A square matrix whose determinant is non-zero (invertible).
14. Sparse and Dense Matrix – Sparse has mostly zero elements; dense has mostly non-zero elements.
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Language: en
Added: Oct 08, 2025
Slides: 17 pages
Slide Content
Chemistry In Everyday Life
INTRODUCTION
INTRODUCTION Chemistry is not limited to laboratories. It exists in the food we eat, medicines we take, clothes we wear. And even the air we breathe. Aim: To explore how chemistry makes our daily life possible
Chemistry in food
Chemistry in Food Preservative: Prevent spoilage (e.g., sodium benzoate, citric acid). Flavors & colors: Enhance taste & appearance. Nutrients: Proteins, carbohydrates, fats, vitamins. Example: Chips stay crispy due to antioxidants.
Chemistry in Medicine Painkillers: Aspirin, Paracetamol reduce pain/fever. Antibiotics: Penicillin fight infections. V accines: Contain chemicals that trigger immunity. Drug action: Molecule interact with enzymes & receptors.
Cosmetics
Chemistry in Cosmetics Shampoos & Conditioners: Contain surfactants & Polymers. Perfumes & Deodorants: Made from esters & alcohols. Sunscreens: UV blockers (Zno,Tio2). Hair Dyes & Nail Polish: Contain dyes, acetone.
Energy & Environment
Energy & Environment Fuels: Petrol, diesel, LPG, biofuels provide energy. Batteries: Lithium-ion cells power mobiles & laptops. Pollution Control: Catalytic converters reduce harmful gases. Eco-friendly Materials: Biodegradable plastics & green chemistry
Do You Know ? Do you know why onions make us cry? 2. Do you know why salt is added to ice in ice creams? 3.Do you know why chips stay crispy in packets?
conclusion
Chemistry is everywhere in daily life. It improves health, hygiene, comfort, and technology. Future goal: Make chemistry eco-friendly and sustainable. conclusion