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If the following statements and expressions are typed in the Command Window, what MATLAB will produce >> pvec = 3:2:10, >> pvec(2) = 15, >> pvec(7) = 33, >> pvec([2:4 7]), >> linspace(5,11,3), >> logspace(2,4,3)?

Computer Science

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Okay, Em_Legend, let's break down these MATLAB commands.

  1. Evaluate pvec = 3:2:10.

    This creates a vector pvec starting at 3, incrementing by 2, up to 10.

    pvec=[3579]\text{pvec} = [3 \quad 5 \quad 7 \quad 9]

    The result is:

    [3579]\boxed{[3 \quad 5 \quad 7 \quad 9]}
  2. Evaluate pvec(2) = 15.

    This assigns the value 15 to the second element of pvec.

    pvec=[31579]\text{pvec} = [3 \quad 15 \quad 7 \quad 9]

    The result is:

    [31579]\boxed{[3 \quad 15 \quad 7 \quad 9]}
  3. Evaluate pvec(7) = 33.

    This assigns the value 33 to the seventh element of pvec. Since pvec currently only has 4 elements, MATLAB extends the vector, filling the intermediate elements (5th and 6th) with zeros.

    pvec=[315790033]\text{pvec} = [3 \quad 15 \quad 7 \quad 9 \quad 0 \quad 0 \quad 33]

    The result is:

    [315790033]\boxed{[3 \quad 15 \quad 7 \quad 9 \quad 0 \quad 0 \quad 33]}
  4. Evaluate pvec([2:4 7]).

    This extracts elements from pvec at indices 2, 3, 4, and 7.

    pvec(2)=15\text{pvec}(2) = 15 pvec(3)=7\text{pvec}(3) = 7 pvec(4)=9\text{pvec}(4) = 9 pvec(7)=33\text{pvec}(7) = 33

    The result is:

    [157933]\boxed{[15 \quad 7 \quad 9 \quad 33]}
  5. Evaluate linspace(5,11,3).

    This generates 3 linearly spaced points between 5 and 11.
    The points are calculated as 5, 5+11−53−15 + \frac{11-5}{3-1}, 11.

    linspace(5,11,3)=[5811]\text{linspace}(5,11,3) = [5 \quad 8 \quad 11]

    The result is:

    [5811]\boxed{[5 \quad 8 \quad 11]}
  6. Evaluate logspace(2,4,3).

    This generates 3 logarithmically spaced points between 10210^2 and 10410^4.
    The exponents are linearly spaced between 2 and 4.
    The exponents are 2, 2+4−23−12 + \frac{4-2}{3-1}, 4, which are 2,3,42, 3, 4.
    The points are 10210^2, 10310^3, 10410^4.

    logspace(2,4,3)=[100100010000]\text{logspace}(2,4,3) = [100 \quad 1000 \quad 10000]

    The result is:

    [100100010000]\boxed{[100 \quad 1000 \quad 10000]}
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