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What MATLAB will produce when the following sequences of statements and expressions are typed in the Command Window:

Computer Science

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Step-by-step solution

9 steps

Here's what MATLAB would produce for each statement:

  1. Evaluate mat = [1:3; 44 9 2; 5 -1 3]

    This command initializes a 3x3 matrix named mat.

    mat=[12344925−13]\text{mat} = \begin{bmatrix} 1 & 2 & 3 \\ 44 & 9 & 2 \\ 5 & -1 & 3 \end{bmatrix}

    Output:

    mat =
         1     2     3
        44     9     2
         5    -1     3
    
  2. Evaluate mat(3,2)

    This command accesses the element in the 3rd row and 2nd column of mat.

    mat(3,2)=−1\text{mat}(3,2) = -1

    Output:

    ans =
        -1
    
  3. Evaluate mat(2,:)

    This command accesses all elements in the 2nd row of mat.

    mat(2,:)=[44,9,2]\text{mat}(2,:) = [44, 9, 2]

    Output:

    ans =
        44     9     2
    
  4. Evaluate size(mat)

    This command returns the dimensions of mat (rows, columns).

    size(mat)=[3,3]\text{size}(\text{mat}) = [3, 3]

    Output:

    ans =
         3     3
    
  5. Evaluate mat(:,4) = [8;11;33]

    This command adds a new 4th column to mat. MATLAB automatically extends the matrix.

    mat=[12384492115−1333]\text{mat} = \begin{bmatrix} 1 & 2 & 3 & 8 \\ 44 & 9 & 2 & 11 \\ 5 & -1 & 3 & 33 \end{bmatrix}

    Output:

    mat =
         1     2     3     8
        44     9     2    11
         5    -1     3    33
    
  6. Evaluate numel(mat)

    This command returns the total number of elements in mat. mat is now 3 rows by 4 columns, so 3×4=123 \times 4 = 12 elements.

    numel(mat)=12\text{numel}(\text{mat}) = 12

    Output:

    ans =
        12
    
  7. Evaluate v = mat(3,:)

    This command assigns the 3rd row of the current mat to a new vector v.

    v=[5,−1,3,33]v = [5, -1, 3, 33]

    Output:

    v =
         5    -1     3    33
    
  8. Evaluate v(2)

    This command accesses the 2nd element of vector v.

    v(2)=−1v(2) = -1

    Output:

    ans =
        -1
    
  9. Evaluate reshape(mat,2,6)

    This command reshapes the current mat (which is 3x4) into a 2x6 matrix. MATLAB fills the new matrix column by column from the original matrix's elements, also read column by column.
    Original mat (column-wise): 1,44,5,2,9,−1,3,2,3,8,11,331, 44, 5, 2, 9, -1, 3, 2, 3, 8, 11, 33
    Reshaped 2x6 matrix:

    ans=[1593311442−12833]\text{ans} = \begin{bmatrix} 1 & 5 & 9 & 3 & 3 & 11 \\ 44 & 2 & -1 & 2 & 8 & 33 \end{bmatrix}

    Output:

    ans =
         1     5     9     3     3    11
        44     2    -1     2     8    33
    
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