Which colon command creates a vector identical to the following linspace command?v = linspace(-5,-1.5,8)Question 9Select one:a.v = -5:0.5:-1.5b.v = -5:8:-1.5c.v = -5:-1.5:8d.v = -1.5:0.5:-5e.v = -5:(-1.5+5)/8:-1.5
Question
Which colon command creates a vector identical to the following linspace command?v = linspace(-5,-1.5,8)Question 9Select one:a.v = -5:0.5:-1.5b.v = -5:8:-1.5c.v = -5:-1.5:8d.v = -1.5:0.5:-5e.v = -5:(-1.5+5)/8:-1.5
Solution
The correct answer is e. v = -5:(-1.5+5)/8:-1.5
Here's why:
The linspace command in MATLAB generates a linearly spaced vector. The command linspace(a,b,n) generates a row vector of n points that are linearly spaced between and including a and b.
In the given command, v = linspace(-5,-1.5,8), it generates 8 points between -5 and -1.5.
The colon operator in MATLAB creates a vector that includes both the start and end values. The syntax is start:step:end.
So, to create a vector identical to the linspace command, we need to calculate the step size. The step size is the difference between the end and start values divided by the number of points minus 1.
So, the step size is (-1.5 - (-5)) / (8 - 1) = 0.5
Therefore, the equivalent colon command is v = -5:0.5:-1.5. But this option is not given in the choices.
The closest option to the correct answer is e. v = -5:(-1.5+5)/8:-1.5. This option calculates the step size as (-1.5+5)/8 which is not exactly the same as the correct step size but it's the closest among the given options.
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