5. Let S {p(x)= a + bx | a+b=0}. = a) Show that S is a...

 

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5. Let S {p(x)= a + bx | a+b=0}. = a) Show that S is a subspace of P2. [Hint: use theorem 3 or 4 of section 3.2]. Explain clearly. b) Find a basis for S. Specify the dimension of S. [Hint: solve a + b =0 for a; then substitute into p(x) and collect like terms] 5. Let S {p(x)= a + bx | a+b=0}. = a) Show that S is a subspace of P2. [Hint: use theorem 3 or 4 of section 3.2]. Explain clearly. b) Find a basis for S. Specify the dimension of S. [Hint: solve a + b =0 for a; then substitute into p(x) and collect like terms]

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The question asks for two things first to prove that a given set S is a subspace of P2 where P2 is the space of all polynomials of degree at most 2 an... View the full answer