IIT JAM Follow
August 9, 2020 11:30 pm 30 pts
V Let FR° R be the linear mapping defined by then which of the tollowing nO (1,1,1,1) and (-1.0,1.2) torms a basis of Ker F (A) (B) (2,1.-1,0) and (1,2,0.1) forms a basis of Ker F (C) (0.0,0,1) form a basis of Ker F (D) None
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• Anonymous User
Is F defined in the question?
Anonymous User
what have you sent is just an arbitrary linear map f
• Rakesh kumar
option c to wrong hoga because it is not generated
Anonymous User
why?
• Anonymous User
since f is not given, therefore the options 1,2,3 can hold... they are in accordance with rank nullity theorem...see the attachment
Rakesh kumar
if it is a basis so li as well as generat
• Anonymous User
I just want to make sure that you understand this question.... but if still have any doubt, I will try to clarify it
Rakesh kumar
Bhai one element tabhi basis hoga jab o set ke sare element ko generate karega; li to h but generate nahi Kar rha h
• Rakesh kumar
nothing is defined
• Rakesh kumar
according to me only a& b may be true