che310mtexam - Ch E 310 Name SOLUTIONS Instructions Spring...

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Ch E 310 Spring 2008 Midterm Exam 1 Name: SOLUTIONS Instructions: The exam is open book and open notes You may use your calculator Show all of your work in a neat and concise manner If you need more room to work, use the back of the page or attach scratch paper 1. (25 points) Evaluate the following command line entries (i.e., what will MATLAB return as output?). If MATLAB will give an error, say so and explain why. Wherever possible, please show how you arrived at your answer sufficiently to prove you understand the procedure. a. (2 points) >> 5*ones(3)-[3 4 5; 3 4 5; 2 5 3]' = - = - × 2 0 0 0 1 1 3 2 2 3 5 5 5 4 4 2 3 3 5 5 5 5 5 5 5 5 5 3 5 5 5 4 4 2 3 3 1 1 1 1 1 1 1 1 1 5 b. (3 points) >> x=[5 3 5]; y=[3 5 2]'; y*x ( 29 = × 10 6 10 25 15 25 15 9 15 5 3 5 2 5 3 (note: y*x x*y ) c. (5 points) >> A=[3 4 5; 8 7 5; 3 7 3]; det(A) det ( 29 ( 29 ( 29 3 7 7 8 5 3 5 3 8 4 7 5 3 7 3 3 7 3 5 7 8 5 4 3 × - × + × - × - × - × = = -42 - 36 + 175 = 97 d. (2 points) >> sqrt(3+3*5-3^3/3+9*3) 6 36 27 3 27 15 3 = = + - +
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Ch E 310 Spring 2008 Midterm Exam 2 e. (3 points) >> B=[3 9 2; 3 1 3; 5 3 4]; B([1 3],[1:2])^2 = × = 54 30 54 54 3 5 9 3 3 5 9 3 3 5 9 3 4 3 5 3 1 3 2 9 3 B f. (4 points) >> sum=0; i=1; while 1/i > .15;... sum=sum + 1/i; a(i)=sum; i=i+1; end; a' = 4500 . 2 2833 . 2 0833 . 2 8333 . 1 5000 . 1 0000 . 1 a g. (3 points) >> (2*ones(2,3))*(4*ones(3,1)) == [24 12]' = == =
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