Coursera machine learning week 2 Quiz answer Octave and Matlab Tutorial | Andrew NG

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Coursera machine learning week 2 Quiz answer Octave and Matlab Tutorial | Andrew NG

1. Suppose I first execute the following Octave/Matlab commands:

A = [1 2; 3 4; 5 6];
B = [1 2 3; 4 5 6];

Which of the following are then valid commands? Check all that apply. (Hint: A’ denotes the transpose of A.)

• •  C = A * B;
  •  C = B’ + A;
  •  C = A’ * B;
  •  C = B + A;

2. Let

Which of the following indexing expressions gives

Check all that apply.

• •  B = A(:, 1:2);
  •  B = A(1:4, 1:2);
  •  B = A(:, 0:2);
  •  B = A(0:4, 0:2);

3. Let A be a 10×10 matrix and x be a 10-element vector. Your friend wants to compute the product Ax and writes the following code:

v = zeros(10, 1);
for i = 1:10
    for j = 1:10
        v(i) = v(i) + A(i, j) * x(j);
    end
end

How would you vectorize this code to run without any for loops? Check all that apply.

• •  v = A * x;
  •  v = Ax;
  •  v = x’ * A;
  •  v = sum (A * x);

4. Say you have two column vectors v and w, each with 7 elements (i.e., they have dimensions 7×1). Consider the following code:

z = 0;
for i = 1:7
    z = z + v(i) * w(i)
end

Which of the following vectorizations correctly compute z? Check all that apply.

• •  z = sum (v .* w);
  •  z = w’ * v;
  •  z = v * w’;
  •  z = w * v’;

5. In Octave/Matlab, many functions work on single numbers, vectors, and matrices. For example, the sin function when applied to a matrix will return a new matrix with the sin of each element. But you have to be careful, as certain functions have different behavior. Suppose you have an 7×7 matrix X. You want to compute the log of every element, the square of every element, add 1 to every element, and divide every element by 4. You will store the results in four matrices, A, B, C, D. One way to do so is the following code:

for i = 1:7
    for j = 1:7
        A(i, j) = log(X(i, j));
        B(i, j) = X(i, j) ^ 2;
        C(i, j) = X(i, j) + 1;
        D(i, j) = X(i, j) / 4;
    end
end

Which of the following correctly compute A, B, C or D? Check all that apply.

• •  C = X + 1;
  •  D = X / 4;
  •  A = log (X);
  •  B = X ^ 2;

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