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Using Functions with the Vectors and Matrices:
As MATLAB is written to work with the vectors and matrices, the whole vector or matrix can be passed as an argument to the function. MATLAB will compute the function on every element, and return as a result the vector or matrix with similar dimensions as the original. For illustration, we could pass the vector below, vec, to the abs function in order to get the absolute value of each and every element.
>> vec = -3:4
vec =
-3 -2 -1 0 1 2 3 4
>> abs(vec)
ans =
3 2 1 0 1 2 3 4
The original vector vec has 8 elements, and as the abs function is computed for every element, the resulting vector also has 8 elements.
This would also be the case for matrices:
>> mat = randint(2,3,[-5,5])
mat =
-5 -1 0
3 5 -1
>> abs(mat)
5 1 0
3 5 1
Program of built-in factorial function: Calling this function yields similar result as the built-in factorial function: >> fact(5) ans = 120 >> factorial(
bar and barh functions: For a matrix, the bar and barh functions will group altogether the values in each and every row. The illustration is as shown: rm = randint(2,4,[1
Find Minimum and Maximum for each row To find the maximum (or minimum) for each row, the dimension of 2 (that is how a MATLAB refers to rows) can be identified as the third arg
Use of logical vector: Determine how many elements in the vector vec were greater than 5, the sum function can be used on the resulting vector isg: >> sum(isg) ans =
Symbolic Expression The solve function solves an equation and returns the solution(s) as symbolic expressions. The answer can be converted to numbers by using any numeric funct
Fliplr function: The fliplr function "flips" the matrix from left to right (in another words the left-most column, the first column, become the last column and so on), and the
Empty Vectors: An empty vector or in another words, a vector which stores no values, can be generated using the empty square brackets: >> evec = [] evec = [] >> lengt
Illustration of Minimum and Maximum Value Both of these functions also return the index of the minimum or maximum value; when there is more than one occurrence, it returns the
Illustration of Standard Deviation The less spread out the numbers are, therefore smaller the standard deviation will be, as it is a way of determining the spread of the data.
Built-in functions for Complex numbers: We know that in MATLAB both i and j are built-in functions which return √-1 (therefore, they can be thought of as built-in constants).
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