Apply the Gram-Schmidt orthonormalization process to transform the given basis for Rn into an orthonormal basis....

Apply the Gram-Schmidt orthonormalization process to transform the given basis for Rⁿ into an orthonormal basis. Use the vectors in the order in which they are given. On part D) Use the inner product <u, v> = 2u₁v₁ + u₂v₂ in R² and the Gram-Schmidt orthonormalization process to transform the vector.

A) B = {(24, 7), (1, 0)}

u1=____

u2=____

B = {(3, −4, 0), (3, 1, 0), (0, 0, 2)}

u1=___

u2=___

u3=___

B = {(−1, 0, 1, 2), (0, 1, 2, 2), (−1, 1, 0, 1)}

u1=___

u2=___

u3=___

{(−2, 1), (2, 9)}

u1=___

u2=___

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Expert Solution

Colby Messinger answered 1 year ago

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