M294F09WS_Orthog

M294F09WS_Orthog - R n Show that A~v ~w = ~v A T ~w 4...

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Math 2940 Worksheet: Ch. 5 Orthogonality and Least Squares October 15, 2009 1. Find an orthonormal basis for the image of the matrix A = 1 2 1 2 1 1 2 - 2 0 2. Find the QR factorization of the matrix A = 2 1 2 1 1 5
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3. Consider an n × m matrix A , a vector ~v in R m , and a vector ~w in
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Unformatted text preview: R n . Show that ( A~v ) · ~w = ~v · ( A T ~w ) . 4. Find the matrix of the linear transformation L ( A ) = A-A T from R 2 × 2 to R 2 × 2 with respect to the basis ± 1 0 0 0 ² , ± 0 0 0 1 ² , ± 0 1 1 0 ² , ± 1-1 0 ²...
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This note was uploaded on 12/25/2009 for the course MATH 1920 taught by Professor Pantano during the Spring '06 term at Cornell.

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M294F09WS_Orthog - R n Show that A~v ~w = ~v A T ~w 4...

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