English_Global_Language_Presentation.pptx

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.

1. English Became a Global Language Group Presentation Your Names / Roll Numbers

2. Introduction English is spoken worldwide Used in education, business, science, and technology Known as a 'global language'

3. Historical Background Spread through British colonization English became language of administration & trade Later expanded through globalization

4. Role in Education Medium of instruction in many countries International exams (IELTS, TOEFL) Access to global knowledge & research

5. English in Business Common language for trade & commerce Multinational companies use English Helps in global job opportunities

6. English in Technology Internet & software mostly in English Programming languages based on English Social media communication

7. English in Media & Entertainment Hollywood movies, music, TV shows English dominates news & publishing Influences global culture

8. Advantages of English as Global Language Easy communication between countries Access to education & jobs Promotes cultural exchange

9. Challenges Local languages losing importance Non-native speakers face difficulty Creates language barrier for some

10. Conclusion English connects the world Powerful tool for growth & opportunities Learn English, but also respect native languages