23MA1002

• 1. (8,3,0)

•  (-8,3,0)

• 1.   (8,0,3)

• 1.  (8,0,-3)

 Find the value of T(2,3), if a linear transformation T: R →R is defined as T(x,y) = (-y, 2y+5x).

• 1. (-3,16)

• 1. (3,16)

• 1. (3,-16)

• 1. (-3,-16)

• 1. (4,1,2)

• 1. (4,1,−2)

• (−4,1,−2)

• 1. (−4,-1,−2)

 A linear Transformation T: V → V is defined as T(x,y,z)=(x+y, -x+z). Find the value of T(u+v), given that u= (1,2,3) and v= (-1,2,1). 

• 1. (4,4)

• (-4,4)

• 1. (4,-4)

• (-4,-4)

 Find the value of T(αu) given that u = (-1,2) and α = 2 if a linear transformation T: R → R is defined as T(x,y) = (x-y,x+y,y). 

• 1. (6,2,4)​

• 1. (−6,-2,-4)​

• 1. (−6,-2,4)​

• 1. (−6,2,4)​

  
  

• 
• 
• 
• 

• 
• 
• 
• 

Find the dimension of U if T: U→V is a linear transformation such that rank = 4 and nullity = 2.

• 4

• 2

• 6

• 8

 If T:U→V is a linear transformation such that dimension of U is 5 and rank of T is 2, then find the nullity

• 2

• 3

• 10

• 7

If T:U→V is a linear transformation such that the dimension of U is 7 and the nullity is 5, then find the rank

• 5

• 12

• 2

• 1