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Recitation 03 Problems- Solutions

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

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14:440:127 Introduction to Computers for Engineers Recitation 3- Problems for students to attempt- Solutions 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 . b = 2:2:18; c = transpose(1:4:29); A = [5 2 6 ; 7 3 2; 7 2 9]; B = A'; A.*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 [ 3 5 13 ] b. x + A Nope-- adding matrices requires that they be the same size c. x' + y Nope-- adding matrices requires that they be the same size (exactly). Here, one's a column vector and one's a row vector, so the sizes are technically different. It's kind of annoying, right? d. A - [x' y'] Nope-- adding matrices requires that they be the same size (exactly). Here, one's a column vector and one's a row vector, so the sizes are technically different. It's kind of annoying, right? e. [x ; y'] Nope, the dimensions don't work. You would need y to have the same number of columns as x f. [x ; y] [ 1 4 8 ] [ 2 1 5 ] g. A – 3 [ 0 -2 3 ] [ 2 -1 4 ] 3) . If A = [1 2; 3 4]; Predict the values of B = A.^2 and C = 2.^A on paper and verify using matlab B = C =

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[ 1 4 ] [ 2 4 ] [ 9 16 ] [ 8 16 ] 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 A+B and B+A are equal; A*B and B*A are usually not equal. 5) Given the matrix, A = [ 3 7 -4 16; -5 9 10 2; 6 13 8 11; 15 5 4 1]. a. Find the maximum and minimum values in each column; max(A) min(A) b. Find the maximum and minimum values in each row. max(A') % or max(transpose(A)) min(A') % or min(transpose(A)) c. Display the last row (using end ) A( end, : ) d. What's the overall maximum value in the matrix?
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Recitation 03 Problems- Solutions - 14:440:127 Introduction...

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