4. Let p(x) = a + ax + ax and g(x) = bo + bx +...
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4. Let p(x) = a + a₁x + a₂x² and g(x) = bo + b₂x + b₂x² be vectors in P₂ with: (p.q) = aobo + a₂b₁ + a₂b₂. Determine whether the given second-degree polynomials: (x²,x²+2x, x² + 2x + 1) form an orthonormal set, and if not, use the Gram-Schmidt orthonormalization process to form an orthonormal set. 4 4. Let p(x) = a + a₁x + a₂x² and g(x) = bo + b₂x + b₂x² be vectors in P₂ with: (p.q) = aobo + a₂b₁ + a₂b₂. Determine whether the given second-degree polynomials: (x²,x²+2x, x² + 2x + 1) form an orthonormal set, and if not, use the Gram-Schmidt orthonormalization process to form an orthonormal set. 4
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