Unformatted text preview: 1 w 2 Â¶ = Âµ 1 5 Â¶ . The general formula for the matrix of the orthogonal projection onto the line spanned by âˆ’â†’ w is 1 w 2 1 + w 2 2 Âµ w 2 1 w 1 w 2 w 1 w 2 w 2 2 Â¶ , so in our particular case the matrix becomes 1 26 Âµ 1 5 5 25 Â¶ = Âµ 1 26 5 26 5 26 25 26 Â¶ . This can also be derived using the formula for the orthogonal projection: proj âˆ’â†’ w ( âˆ’â†’ v ) = 1  âˆ’â†’ w  2 ( âˆ’â†’ v Â· âˆ’â†’ w ) âˆ’â†’ w . V. K. 6...
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This note was uploaded on 04/12/2011 for the course MATH 33a taught by Professor Lee during the Fall '08 term at UCLA.
 Fall '08
 lee

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