IIT JAM
Ashwini Asked a Question
February 6, 2021 7:27 pmpts 30 pts
  • 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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  • Deepak singh thankyou
    Refer attachment answer is 3
    • cropped395412360385352000.jpg
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  • Sonu saini thankyou
    dim w = 3 because two Linearly independent conditions given hence dim w = dim v - no. of L.I conditions
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