Let W be the subspace of R3 spanned by the vectors ⎡⎣⎢113⎤⎦⎥ and ⎡⎣⎢4615⎤⎦⎥. Find the projection matrix P that project...

Question

Question

Let W be the subspace of R3 spanned by the vectors ⎡⎣⎢113⎤⎦⎥ and ⎡⎣⎢4615⎤⎦⎥.
Find the projection matrix P that projects vectors in R3 onto W.

Answer 1

Answer #1

Given: Let W be the subspace of R3 spanned by the vectors y=[1 1 3] and V,14 6 15] To find: The projection matrix P that proj

[277-55 (AAT)-1 11 55 -55 11 55 277 277 -55 (11x277)-(55x55)L-55 11 277 -55 3047-3025-55 11 -1 1277 -55 44 ) 22-55 11

1277 -5511 3 22L-55 114 6 15 3 15 (277x1)+(-55x4) (277x1)+(-55x6) (277x3)(-55x15) 3 15 L(-55*1)-(l1x4) ( ) -55x1)+(11x6) (-55

Answer 2

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