Question

a)
Answer all the questions.
Find a basis and the dimension of the real vector space Mn(R), where Mn(R) denotes the set all real matrices of order n × n. 4+1
2. (a)
Can R \ {0, −1} with respect to usual addition and multiplication be a field?
(b) Let S = {(x,y,z) ∈ R3 | x+y+z ≥ 0}. Is S a subspace of R3 over R? Justify your answer. 1+2
(c) Let V be a vector space over R and S be a subspace of V. Then show that S is always linearly dependent. 2

Answer 1

Answer:

Sorry I can't answer of this question