Answer :
(i) max(x) = 9
(ii) [a, b] = max(x) -> a = [6, 9, 5], b = [2, 1, 2]
(iii) mean(x) ≈ 5.6667
(iv) median(x) = 5
(v) cumprod(x) = [2, 18, 72; 12, 96, 480]
What is the output of `sqrt(16)` in MATLAB?
Sure! Let's evaluate each MATLAB function one by one:
(i) x = [2, 9, 4; 6, 8, 5]
max(x)
The function `max(x)` returns the maximum value of the elements in the matrix `x`. In this case, the matrix `x` is:
x = [2, 9, 4; 6, 8, 5]
Evaluating `max(x)` will give us the maximum value, which is 9.
Answer: max(x) = 9
(ii) x = [2, 9, 4; 6, 8, 5]
[a, b] = max(x)
The function `max(x)` with two output arguments returns both the maximum values and their corresponding indices. In this case, the matrix `x` is:
x = [2, 9, 4; 6, 8, 5]
Evaluating `[a, b] = max(x)` will assign the maximum values to variable `a` and their corresponding indices to variable `b`.
Answer:
a = [6, 9, 5]
b = [2, 1, 2]
(iii) x = [2, 9, 4; 6, 8, 5]
mean(x)
The function `mean(x)` returns the mean (average) value of the elements in the matrix `x`. In this case, the matrix `x` is:
x = [2, 9, 4; 6, 8, 5]
Evaluating `mean(x)` will give us the average value, which is (2 + 9 + 4 + 6 + 8 + 5) / 6 = 34 / 6 = 5.6667 (rounded to 4 decimal places).
Answer: mean(x) ≈ 5.6667
(iv) x = [2, 9, 4; 6, 8, 5; 3, 7, 1]
median(x)
The function `median(x)` returns the median value of the elements in the matrix `x`. In this case, the matrix `x` is:
x = [2, 9, 4; 6, 8, 5; 3, 7, 1]
Evaluating `median(x)` will give us the median value. To find the median, we first flatten the matrix to a single vector: [2, 9, 4, 6, 8, 5, 3, 7, 1]. Sorting this vector gives us: [1, 2, 3, 4, 5, 6, 7, 8, 9]. The median value is the middle element, which in this case is 5.
Answer: median(x) = 5
(v) x = [2, 9, 4; 6, 8, 5]
cumprod(x)
The function `cumprod(x)` returns the cumulative product of the elements in the matrix `x`. In this case, the matrix `x` is:
x = [2, 9, 4; 6, 8, 5]
Evaluating `cumprod(x)` will give us a matrix with the same size as `x`, where each element (i, j) contains the cumulative product of all elements from the top-left corner down to the (i, j) element.
Answer:
cumprod(x) = [2, 9, 4; 12]
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