BMAT201-2

Let V be a vector space and W be a subspace of V then

• u+v=v+u for u,v belongs to W.

• All of these

A 1-1 linear transformation preserves

• Basis

• Dimensions

• Both Basis & dimension

• None of these

A linear transformation is a function from

• Field to vector space

• Vectorspace to field

• vector space to vector space

• None of these

• 89

• 80

• 124

• 100

Divergence and Curl of a vector field are ___________

• Scalar & Scalar

• Scalar & Vector

• Vector & Vector

• Vector & Scalar

A vector field with a vanishing curl is called as __________

• Irrotational

• Solenoidal

• Rotational

• Cycloidal

The gradient of xi + yj + zk is

• 0

• 1

• 2

• 3

Which of the following is true?

• Γ(n+1) = nΓ(n) for any real number

• Γ(n) = nΓ(n+1) for any real number

• Γ(n+1) = nΓ(n) for n>1

• Γ(n) = nΓ(n+1) for n>1

Γ(n+1) = n! can be used when ____________

• n is a positive integer

• n is any integer

• n is a negative integer

• n is any real number

What is the value of Γ(1/2)?

• 1