Assignment2_W2018.pdf - Math 1300 Section D01 Assignment 2...

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Math 1300 Section D01Assignment 2Due February 16, 2018Student number:Surname:First name:This assignment covers topics from Units 2 and 3 of the course.Please make sure that you answer all questions and submitall pages in a single pdf fileno later than February 16, 23:59.Late assignmentswill not be marked.Assignments received as multiple fileswill not be marked.Show your work. Solutions with just final answers will not get full marks.1. LetA=40-1221, B=3-102, C=152315, D=-152101324, E=613-112513.Evaluate each of the following expressions or explain why it is undefined.(a) (2DT-E)A(b) (4B)C+ 3B(c)DT(4ET)-4(ED)T(d)Tr(A)(e) (2B)-12. LetAandBbe 4×4 matrices such that|A|= 2 and|B|=-3. Find det(-12A5B2).3. Consider the following matrix:B=111234589.(a) IsBinvertible? Justify.(b) Use the adjoint method to findB-1.1
Math 1300 Section D01Assignment 2Due February 16, 20184. Consider the following matrix,M=111234022.Its inverse can be obtained by row reduction using the following sequence of row operations:111100234010022001R2R2-2R1-→111100012-210022001R1R1

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