Let W be the set of all vectors y with x and y real. x +...

 

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Let W be the set of all vectors y with x and y real. x + y Determine whether each of the following vectors is in WV-. Select an Answer 1. V = 2 Select an Answer 2. -3 V = -3 3 Select an Answer 3. -2 V = -2 2 (1 point) Find the angle a between the vectors -1 1 and -3 1 a = (1 point) Let f(x) = 8, g(x) = -8x – 3 and h(x) = -8x² + 3x + 8. Consider the inner product (p, q) = p(-1)q(-1) + p(0)q(0) + p(1)q(1) | in the vector space P2 of polynomials of degree at most 2. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of P2 spanned by the polynomials f(x), g(x) and h(x). { }. (1 point) If a11 A12 b11 b12 A and B a21 a22 b21 b22 are arbitrary vectors in R²×², then the mapping (A, B) = a11b11 +a12b12 + a21b21 + a22b22 defines an inner product in R2x2. Use this inner product to determine (A, B), ||A||, |B, and the angle a 4.B between A and B for -5 1 -1 A and B= -2 3 -1 4 (А, В) — ||A|| || B|| В A A‚B Let W be the set of all vectors y with x and y real. x + y Determine whether each of the following vectors is in WV-. Select an Answer 1. V = 2 Select an Answer 2. -3 V = -3 3 Select an Answer 3. -2 V = -2 2 (1 point) Find the angle a between the vectors -1 1 and -3 1 a = (1 point) Let f(x) = 8, g(x) = -8x – 3 and h(x) = -8x² + 3x + 8. Consider the inner product (p, q) = p(-1)q(-1) + p(0)q(0) + p(1)q(1) | in the vector space P2 of polynomials of degree at most 2. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of P2 spanned by the polynomials f(x), g(x) and h(x). { }. (1 point) If a11 A12 b11 b12 A and B a21 a22 b21 b22 are arbitrary vectors in R²×², then the mapping (A, B) = a11b11 +a12b12 + a21b21 + a22b22 defines an inner product in R2x2. Use this inner product to determine (A, B), ||A||, |B, and the angle a 4.B between A and B for -5 1 -1 A and B= -2 3 -1 4 (А, В) — ||A|| || B|| В A A‚B