Question
Asked Nov 14, 2019
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Linear algebra 

Write y as the sum of a vector in Spanfu} and a vector orthogonal to u
and u
Let y =
That is, Find vectors x and w such that x E Spanfu, w l u, and y xw
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Write y as the sum of a vector in Spanfu} and a vector orthogonal to u and u Let y = That is, Find vectors x and w such that x E Spanfu, w l u, and y xw

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Expert Answer

Step 1

From the given information:

Let,

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у3 6 и %3

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Step 2

It is required to calculate y as sum of two vectors that is y = x + w such that x belongs to        span {u} and w is orthogonal to u.

So, first calculate:

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и.у и 2 proj, (y) - у - |и

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Step 3

Now, put the values in t...

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(i-7 }{2i + 61 (ri+ 7) (7i+) proj,(y)y (7F) 20 (i+) 50 14 2 j i 5 5

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