3. A subspace UC R6 and x € R® are given by 3 1 -3 -1] -1 -1 -3 4 -3 -6 -2 and x = 3 1 1 5 U -1 2 2 2 1 7 2 [1/2 1 1/4 3/2] 1 (a) Find the orthogonal projection of x onto U, TU (x). Please verify...

3. A subspace UC R6 and x € R® are given by<br>3<br>1<br>-3<br>-1]<br>-1<br>-1<br>-3<br>4<br>-3<br>-6<br>-2<br>and x =<br>3<br>1<br>1<br>5<br>U<br>-1<br>2<br>2<br>2<br>1<br>7<br>2<br>[1/2<br>1<br>1/4 3/2]<br>1<br>(a) Find the orthogonal projection of x onto U, TU (x). Please verify TU(æ) lies in the same<br>subspace as U.<br>(b) What is your projection matrix?<br>

Extracted text: 3. A subspace UC R6 and x € R® are given by 3 1 -3 -1] -1 -1 -3 4 -3 -6 -2 and x = 3 1 1 5 U -1 2 2 2 1 7 2 [1/2 1 1/4 3/2] 1 (a) Find the orthogonal projection of x onto U, TU (x). Please verify TU(æ) lies in the same subspace as U. (b) What is your projection matrix?

Jun 05, 2022

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3. A subspace UC R6 and x € R® are given by 3 1 -3 -1] -1 -1 -3 4 -3 -6 -2 and x = 3 1 1 5 U -1 2 2 2 1 7 2 [1/2 1 1/4 3/2] 1 (a) Find the orthogonal projection of x onto U, TU (x). Please verify...

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