A)Let X be the set of all 3×3 matrices whose diagonal entries are all 0. With… Show more Answer the following: A)Let X be the set of all 3×3 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 3×3 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 4×4 matrices. What is the dimension of W? • Show less