Ashwini posted an Question
February 07, 2021 • 00:57 am 30 points
  • IIT JAM
  • Mathematics (MA)

Let p4 be the vector space consisting of all polynomials of the degree less than or equal to 4. let w be the subspace of pa defined as w = {p{r)€ p|p(1) +p(-1)

Let P4 be the vector space consisting of all polynomials of the degree less than or equal to 4. Let W be the subspace of Pa defined as W = {p{r)€ P|p(1) +P(-1) = 0 andp(2) + p(-2) = 0} Then dim W = .

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    Sonu saini best-answer

    dim w = 3 because two Linearly independent conditions given hence dim w = dim v - no. of L.I conditions

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