iii. Draw a diagram illustrating the vectors X₁, X₂and the orthogonal projection of X₂ onto X₁.

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Needs part iii to be done pls

I have added the solution to i and ii and needs the digram for part 3 to be done

thanks

a)
i.
<X₁₁ X₂ >= x₁²x₂ = (3)(1) + (1)(0) = 3
ii.
||x₁|| = 3
Projx1xz
<X₂, X₂ >
||x₂||²
-X₁ =
=
Transcribed Image Text:a) i. <X₁₁ X₂ >= x₁²x₂ = (3)(1) + (1)(0) = 3 ii. ||x₁|| = 3 Projx1xz <X₂, X₂ > ||x₂||² -X₁ = =
a) Consider the vectors X₁ and X₂.
ii.
= [₁0]x₂ = [4]
i. Compute the inner product (x₁, x₂).
Compute the orthogonal projection of x₂ on to X₁.
Draw a diagram illustrating the vectors X₁, X₂and the orthogonal projection of
X₂ onto X₁.
iii.
X₁ =
Transcribed Image Text:a) Consider the vectors X₁ and X₂. ii. = [₁0]x₂ = [4] i. Compute the inner product (x₁, x₂). Compute the orthogonal projection of x₂ on to X₁. Draw a diagram illustrating the vectors X₁, X₂and the orthogonal projection of X₂ onto X₁. iii. X₁ =
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