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Unformatted text preview: AS2/MATH1111/YKL/08-09 THE UNIVERSITY OF HONG KONG DEPARTMENT OF MATHEMATICS MATH1111: Linear Algebra Assignment 2 Due date : Oct 20, 2008 before 6:30 p.m. Where to hand-in : Assignment Box outside the lifts on the 4th floor of Run Run Shaw Remember to write down your Name , Uni. no. and Tutorial Group number . If you find difficulties, you are welcome to see the instructor, tutors or seek help from the help room. See “Information” at http://220.127.116.11/MATH1111/ for availabilities. Normally we do not count assignment grades in your final score. Nevertheless, any discovered plagiarism will be referred to University Disciplinary Committee. 1. Let A be a square matrix of order n , adj A be the adjoint of A and r ( A ) be the number of leading one’s in the row echelon form of A . Prove or disprove each of the following statement. (a) adj A T = (adj A ) T , (b) r ( A ) = n if and only if r (adj A ) = n ....
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