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Recitation 03 Problems

# Recitation 03 Problems - 14:440:127 Introduction to...

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14:440:127 Introduction to Computers for Engineers Recitation 3- Problems for students to attempt Please complete these problems on your own time if you do not finish in recitation. You don’t need to show us the completed recitation problems, although we recommending saving a copy of your solutions for your own benefit. 1) Create a row vector containing the even numbers 2 through 18, a column vector containing 1,5,9,…,25,29, and a 3*3 matrix A. Then, transpose A and save that as B . Finally, calculate the element by element (dot) multiplication of A and B . 2) Given the arrays x = [1 4 8], y = [2 1 5] and A = [3 1 6 ; 5 2 7], determine which of the following statements will correctly execute and provide the result. If the command will not correctly execute, state why it will not. a. x + y b. x + A c. x' + y d. A - [x' y'] e. [x ; y'] f. [x ; y] g. A – 3 3) . If A = [1 2; 3 4]; Predict the values of B = A.^2 and C = 2.^A on paper and verify using matlab 4) Create two 4 x 4 matrices A and B and calculate the following values. (You should store each of them in a variable with some name of your choosing.) In theory, which of the following matrices do you expect to be equal? Which ones actually are equal? Check your answers with Matlab. A*B B*A A + B B + A 5) Given the matrix, A = [ 3 7 -4 16; -5 9 10 2; 6 13 8 11; 15 5 4 1].

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