8:54 Sir I am confused answer is a or b Because in book of Narsingh Deo I found this . If every vector in a vector space W can be expressed as a linear combination of a given set of vectors, this set is said to span the vector space W. The dimension of the vector space W is the minimal number of linearly independent vectors required to span W. Any set of k linearly independent vectors that spans W, a k-dimensional vector space, is called a basis for the vector space W. Then answer is a or b????
Don't get confused. See the difference between the two definition : Set B is said to be a basis of vector space V if i) B spans V and ii) B is Linearly Independent. (L.I.) Dimension of a vector space is the number of vector in its basis. So, Basis is a set of L.I. vectors that span vector space while dimension of vector space is the number of vectors in the basis. Ans. is a) Basis : minimum number of linearly independent vectors that span vector space.
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Mock test on Graph Theory:
forms.gle/3qpvDNbpeW3JeKr17
thank you sir for giving all these unit wise MCQ and answer
All the best for your Exams 👍
@Akshay Jenekar thank you, sir
Out of 80 To 56 mark sir
@@learnandimpliment2.092 Good. 👍
8:54
Sir I am confused answer is a or b
Because in book of Narsingh Deo I found this
.
If every vector in a vector space W can be expressed as a linear combination
of a given set of vectors, this set is said to span the vector space W. The
dimension of the vector space W is the minimal number of linearly independent
vectors required to span W. Any set of k linearly independent vectors that spans
W, a k-dimensional vector space, is called a basis for the vector space W.
Then answer is a or b????
Don't get confused. See the difference between the two definition :
Set B is said to be a basis of vector space V if
i) B spans V and
ii) B is Linearly Independent. (L.I.)
Dimension of a vector space is the number of vector in its basis.
So, Basis is a set of L.I. vectors that span vector space while dimension of vector space is the number of vectors in the basis.
Ans. is a) Basis : minimum number of linearly independent vectors that span vector space.
@@AkshayJenekar Thank you sir 🙏🙏🙏🙏
Sir agaar video itne ache content se upload kar rahe ho to topic wise cover karo na students ki jyada expectations aa jati he apke upar
Okay. Thank you for your feedback. Will proceed accordingly in future video lectures.
Sir it's a whole heartdly request please provide the pdf vector space in graph theory