Let Y₁, Y2, Y3, Y4~ N(Bo, o²), Y's independent. Given the vector Y₁x1 = [Y₁, Y2, Y3, Y₁] and the orthonormal coordinate system U₁ = [1, 1, 1, 1]ª U₂ = [1, 1, −1, −1]ª, U3 = ½ [1, −1, 1, −1]ª, and U4 = [1, −1, –1, 1]ª.

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Let Y₁, Y2, Y3, Y4~ N(Bo, o²), Y's independent.
Given the vector Y₁x1 = [Y₁, Y2, Y3, Y₁] and the orthonormal coordinate system U₁ = [1, 1, 1, 1]ª,
U₂ = [1, 1, −1, −1]ª, U3 = [1, −1, 1, −1]ª, and U4 = [1, −1, −1, 1]ª.
First, find the constants C₁, C2, C3, C4 for which Y = C₁ U₁ + C₂U₂ + C3 U3 + C₁U4.
Then, determine V(C₁).
40²
20²
น
Transcribed Image Text:Let Y₁, Y2, Y3, Y4~ N(Bo, o²), Y's independent. Given the vector Y₁x1 = [Y₁, Y2, Y3, Y₁] and the orthonormal coordinate system U₁ = [1, 1, 1, 1]ª, U₂ = [1, 1, −1, −1]ª, U3 = [1, −1, 1, −1]ª, and U4 = [1, −1, −1, 1]ª. First, find the constants C₁, C2, C3, C4 for which Y = C₁ U₁ + C₂U₂ + C3 U3 + C₁U4. Then, determine V(C₁). 40² 20² น
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