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Unformatted text preview: from P 2 to P 2 , T(f)=f’-3f. Determine whether is an isomorphism ±ind basis of kernel and image of T. Determine nullity and rank. EXAMPLE(5.1-27 modiFed) ±ind the orthogonal projection of 9e 1 onto the subspace of R 4 spanned by (2,2,10) and (2,2,0,1) EXAMPLE (5.2-39) Find an orthonormal basis u 1 , u 2 , u 3 of R 3 such that • span(u 1 )=span((1,2,3)) • span(u 1 ,u 2 )=span((1,2,3),(1,1,-1)) EXAMPLE (3.4-39) Denote by T the re±exion abou t the line in R 3 spanned by (1,2,3). Find a basis of R 3 such that the matrix of T is diagonal....
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This note was uploaded on 09/14/2011 for the course MAT 211 taught by Professor Movshev during the Spring '08 term at SUNY Stony Brook.
- Spring '08