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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Chashokreddy18@gmail.com posted an Question
September 29, 2020 • 17:05 pm
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30 points
30 points
- CSIR NET
- Mathematical Sciences
Linear algebra - please explain the following. (p: 317)
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Shashi ranjan sinha Best Answer
I think the domain must be V3 also.... because T is defined on the three standard basis vectors e1, e2, e3.... So, assuming our domain to be V3, see the attachment for solution
sir can you please explain the last sentence in the image, it consists of symbols.
p(T) denotes rank of T.... n(T) denotes nullity of T
do you still have any doubt?.... see I used the symbols to represent rank and nullity of T... since the sum of rank and nullity is equal to the dimension of codomain V3, which is in accordance with the statement of rank nullity theorem, therefore the theorem is satisfied