1. Let A = Find a basis for the nullspace N(A) of A. 2. On V = Pl, the vector space of polynomials of degree less than o

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1 Let A Find A Basis For The Nullspace N A Of A 2 On V Pl The Vector Space Of Polynomials Of Degree Less Than O 1 (32.21 KiB) Viewed 22 times

1. Let A = Find a basis for the nullspace N(A) of A. 2. On V = Pl, the vector space of polynomials of degree less than or equal to 1, consider the inner product (5,9) = $(a)g() dt. Find a scalar a such that a(5+ + 1) is a unit vector. (hint: ||||| -VUFI 3. Asymmetric bilinear form on a vector space V is a function F: VxV R such that (i) Fy) = F(y) (ii) F(cr + y, z) = cF(1, 2) + F(5.2) for all vectors ry EV and scalars de R. Prove that a symmetric bilinear form satisfies the polarization identity F(= re.matw) P(10; 1) - FU). )] c