MTH2021_MTH2025_Assignment_1_Solutions.pdf - MTH2021 Linear Algebra with Applications MTH2025 Linear Algebra(Advanced Assignment 1 School of

MTH2021_MTH2025_Assignment_1_Solutions.pdf - MTH2021 Linear...

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MTH2021 Linear Algebra with Applications MTH2025 Linear Algebra (Advanced) Assignment 1 School of Mathematical Sciences, Monash University This assignment is worth 5% of your total mark for this unit. Your completed assignment must be submitted via the corresponding Moodle Assignment activity by 5pm Monday during Week 3 . A single .pdf file must be submitted. No cover sheet need be attached. Late assignments may be accepted, however they will generally incur a late penalty, as described in the Unit Guide. Late assignments should be submitted via Moodle in the usual way. Problems marked with a treat material only covered in MTH2025 and should be ignored by MTH2021 students. MTH2025 students should attempt all problems. 1.LetM=2411k11k11k11-235,k2R.(a)Find the reduced row echelon form ofM, and explain how it depends onk.(Hint: Be careful to consider for which values ofkyour various row operations are valid.)

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