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10.01.2020 •
Mathematics
A)let x be the set of all 3x3 matrices whose diagonal entries are all 0. with the usual matrix addition and scalar multiplication, is x a vector space?
(b) let y be the set of all 3 x 3 matrices whose diagonal entries add up to 0. with the usual matrix addition and scalar multiplication, is y a vector space?
(c) let z be the set of all polynomials of degree exactly 5. is z a vector space?
d) let v be the set of all 3x3 matrices whose determinant is equal to 0. with the usual matrix addition and scalar multiplication, is v a vector space?
(e) let w be the vector space of all lower triangular 4x4 matrices. what is the dimension of w?
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a then e
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