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Department
Mathematics
Course
MATA23H3
Professor
Sophie Chrysostomou
Semester
Winter

Description
University of Toronto at Scarborough Department of Computer and Mathematical Sciences Linear algebra I MATA23 Spring 2013 Fraleigh & Beauregard, Pages 46 -48 1 37. Since h = 1jij + i – 1) = 1/( i + j – 1) = h , thereforijH is symmetric. n 2 3 In addition: a a  a  b b  b  11 12 1n 11 12 1n a a  a  b b  b  Let A  21 22 2n and B   21 22 2n .                 an1 an1  ann bn1 bn1  bnn a11 a 21  an1   n T a12 a 22  an2 T 1) A  tr(A )   a iitr(A)       i1   a1n a 2n  ann ra 11 ra12  ra1n   n n 2) rA  ra 21 ra22  ra2n tr(rA)  ra  r a  rtr(A)        ii  ii i1
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