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Siliguri Rd, Jalpaiguri, India - 735101.
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3 yrs of Exp
Details verified of Aastha S.✕
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Hindi Mother Tongue (Native)
English Proficient
SPPU
Pursuing
Bachelor of Business Administration (B.B.A.)
Siliguri Rd, Jalpaiguri, India - 735101
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Education Verified
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A
Army Public School
Binnaguri Cantt, Madarihat
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Class Location
Online Classes (Video Call via UrbanPro LIVE)
Student's Home
Tutor's Home
Years of Experience in Spoken English classes
3
Age groups catered to
10 yrs to 15 yrs
Levels of Spoken English I teach
Advanced
Lived or Worked in English Speaking Country
No
Exams Attended
IELTS
Awards and Recognition
Yes
Certification
None
Profession
Tutor
Language of instruction offered
Hindi to English
Curriculum Expertise
CBSE
Citizen of English Speaking Country
Yes
Class strength catered to
Group Classes
Teaching done in
English Grammar, Vocabulary, Basic Spoken English
Teaching at
Home
Class Location
Online Classes (Video Call via UrbanPro LIVE)
Student's Home
Tutor's Home
Years of Experience in Class 12 Tuition
3
Board
CBSE
Preferred class strength
Group Classes
Subjects taught
Economics, English, Business and Management
Taught in School or College
No
Class Location
Online Classes (Video Call via UrbanPro LIVE)
Student's Home
Tutor's Home
Fees
₹ 250.0 per hour
Upcoming Live Classes
1. Are you a native English speaker?
Yes
2. Which classes do you teach?
I teach Class 12 Tuition, Class I-V Tuition and Spoken English Classes.
3. Do you provide a demo class?
Yes, I provide a free demo class.
4. How many years of experience do you have?
I have been teaching for 3 years.
Answered 2 hrs ago Learn Exam Coaching/Engineering Entrance Coaching/Mathematics for Engineering Entrance for Beginners to Advanced
Answered 2 hrs ago Learn Exam Coaching/Engineering Entrance Coaching/Mathematics for Engineering Entrance for Beginners to Advanced
A **vector space** is a set of objects called **vectors** along with two operations—**vector addition** and **scalar multiplication**—that satisfy certain rules (axioms).
Formally, a set over a field (like real numbers ℝ) is a vector space if:
1. **Closure under addition:** If , then .
2. **Commutativity of addition:** .
3. **Associativity of addition:** .
4. **Existence of zero vector:** There exists such that .
5. **Existence of additive inverse:** For each , there exists such that .
6. **Closure under scalar multiplication:** If and , then .
7. **Distributive laws:**
-
-
8. **Associativity of scalar multiplication:** .
9. **Multiplicative identity:** .
**Example:**
- (all 2D vectors with real components) is a vector space over .
- Polynomials of degree ≤ n form a vector space.
Class Location
Online Classes (Video Call via UrbanPro LIVE)
Student's Home
Tutor's Home
Years of Experience in Spoken English classes
3
Age groups catered to
10 yrs to 15 yrs
Levels of Spoken English I teach
Advanced
Lived or Worked in English Speaking Country
No
Exams Attended
IELTS
Awards and Recognition
Yes
Certification
None
Profession
Tutor
Language of instruction offered
Hindi to English
Curriculum Expertise
CBSE
Citizen of English Speaking Country
Yes
Class strength catered to
Group Classes
Teaching done in
English Grammar, Vocabulary, Basic Spoken English
Teaching at
Home
Class Location
Online Classes (Video Call via UrbanPro LIVE)
Student's Home
Tutor's Home
Years of Experience in Class 12 Tuition
3
Board
CBSE
Preferred class strength
Group Classes
Subjects taught
Economics, English, Business and Management
Taught in School or College
No
Class Location
Online Classes (Video Call via UrbanPro LIVE)
Student's Home
Tutor's Home
Fees
₹ 250.0 per hour
Answered 2 hrs ago Learn Exam Coaching/Engineering Entrance Coaching/Mathematics for Engineering Entrance for Beginners to Advanced
Answered 2 hrs ago Learn Exam Coaching/Engineering Entrance Coaching/Mathematics for Engineering Entrance for Beginners to Advanced
A **vector space** is a set of objects called **vectors** along with two operations—**vector addition** and **scalar multiplication**—that satisfy certain rules (axioms).
Formally, a set over a field (like real numbers ℝ) is a vector space if:
1. **Closure under addition:** If , then .
2. **Commutativity of addition:** .
3. **Associativity of addition:** .
4. **Existence of zero vector:** There exists such that .
5. **Existence of additive inverse:** For each , there exists such that .
6. **Closure under scalar multiplication:** If and , then .
7. **Distributive laws:**
-
-
8. **Associativity of scalar multiplication:** .
9. **Multiplicative identity:** .
**Example:**
- (all 2D vectors with real components) is a vector space over .
- Polynomials of degree ≤ n form a vector space.
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