EXERCISE 4 & 5
1.
2.
Let W be two vectors in the Euclidean inner product space R³ with respect to the standard inner product, with basis S = {u₁,u₂}, where u₁ = (1,0,−2) and u₂ =(−3,2,1). Use the Gram-Schmidt process to obtain an orthonormal basis T for W. Use the inner product to find the coordinate vector of v = (-1,2,3) with respect to the orthonormal basis T. (a) (b)
Determine the radius of convergence and interval of convergence for the following power series 2(-1)^-¹*** k=1
EXERCISE 4 & 5 1. 2.
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