# Midterm2 - Midterm1 201 Fall 2016 Instructor Wenjing Liao...

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Chapter 7 / Exercise 61
Finite Mathematics and Applied Calculus
Costenoble/Waner
Expert Verified
Midterm1 – 201, Fall 2016Instructor: Wenjing LiaoPlease keep your own work covered up as much as possible dur-ing the exam so that others will not be tempted or distracted.No notes, books or calculators are allowed.Read each problem carefully. Show all work for full credit.Make sure you have10 pages, including the cover page (Page1) and the score page (Page 2).Name:Section:I would not assist anybody else in the completion of this exam. Iwould not copy answers from others. I would not have anotherstudent take the exam for me.Signature:1
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Chapter 7 / Exercise 61
Finite Mathematics and Applied Calculus
Costenoble/Waner
Expert Verified
2(1)(2)(3)(4)(5)(6)Total
3Problem 1: (20 points):Write down T if the following statement is true and F if thestatement is false. (2 points each)Example: F10 vectors inR9can be linearly independent.(1)The transformationT(A) =ATfromR5×5toR5×5is an isomorphism.(2)Consider the linear transformation:T(~x) = det~v1~v2. . . ~vn-1~xfromRntoR, where~v1,~v2, . . . ,~vn-1are linearly indepen-dent vectors inRn. The nullity ofTis equal ton.(3)