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

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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 , 0 0 0 1 , 0 1 1 0 , 1-1 0...
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M294F09WS_Orthog - R n . Show that ( A~v ) ~w = ~v ( A T ~w...

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