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Let a e m, (c) the vector space of 10 x 10 matrices with entries in c. let w be the subspace of m.(c) spanned by {a | n2 0). choose the correct statements: 83.
Let A e M, (C) the vector space of 10 x 10 matrices with entries in C. Let W be the subspace of M.(C) spanned by {A | n2 0). Choose the correct statements: 83. For any A, dim (W)<10 For some A, dim (W) = 100 (A) (B) For any A, dim (W) s 10 For some A, 10 < dim (W)< 100 (D) (C)
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Satpal singh![best-answer]()
see the attachment put n = 10 option A will be right answer
not clear
firstly what would be the dim of M10 over C
i am not getting poing no. 1
first see this
first point is saying A can be written as a linear combination of following matrices
any power of A like A^2, A^3 , can be written in linear combination of given matrices