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Write a program to examine exponential function:
We will write a program to examine the value of e and the exponential function. It will be a menu-driven. The menu options will be:
Print a description of e.
Prompt the user for a value of n, and then find an estimated value for e by using the expression (1 + 1/n) n
Prompt the user for value for x. Now print the value of exp(x) by using the built-in function. Find an approximate value for ex by using the Maclaurin series just given.
Exit the program.
Expanding a function: The expand function will multiply out terms, and factor will do the opposite: >> expand((x+2)*(x-1)) ans = x^2 x-2 >> factor(ans)
Illustration of Gauss elimination: For illustration, for a 2 × 2 system, an augmented matrix be: Then, the EROs is applied to obtain the augmented matrix into an upper
Creating a cell array: The other method of creating a cell array is easy to assign values to particular array elements and build it up element by element. Though, as explained
Algorithm for subfunction: The algorithm for subfunction askforn is as shown: Prompt the user for the positive integer n. Loop to print an error message and reprom
Gauss-Jordan: The Gauss-Jordan elimination technique begins in similar way which the Gauss elimination technique does, but then rather than of back-substitution, the eliminati
num2str function: The num2str function, that converts real numbers, can be called in many ways. If only the real number is passed to the num2str function, it will generate a s
Reduced Row Echelon Form: The Gauss Jordan technique results in a diagonal form; for illustration, for a 3 × 3 system: The Reduced Row Echelon Forms take this one step
FOR Loop: The for loop, or the for statement, is used whenever it is essential to repeat statement(s) in the script or function, and whenever it is known ahead of time how man
Square Matrices: If a matrix has similar number of rows and columns, for illustration, if m == n, the matrix is square matrix. The definitions which follow in this part apply
Example of Menu driven modular program: As an illustration of such a menu-driven program, we will write a program to discover the constant e. The constant e, known as the n
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