WorksheetsLinear algebra
Total questions: 10
Worksheet time: 5mins
Let T : V- V be a nonsingular linear transformation then
DimV=dim(ImF)
dim V>dim(ImF)
Dim V<dim(ImF)
None
Define vector space
Every finite dimensional vector space V(F )has a -
(a)
What is dimension of a vector space
Find the dimension of C over R?
Which one of the following statement is correct
There is no vector space of dimension 1
Any three vectors of vector space of dimension 3 are linearly independent
If a non zero vector space V is generated by a finite set S then we can be generated by a linearly independent subset of s
There is one and only one basis of a vector space of finite dimension
What is the dimension of vector space C over the field R?
1
Infinite
2
3
If V is a vector space over an infinite field F such that dimension V = 2, then number of distinct subspace of V is
2
3
4
Infinite
Which one of the following is correct
R is vector space over c
R is a vector space over N
R is vector space over Z
None of these
The dimension of R over Q is
1
Infinite
Finite
None of these
