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Matlab Code
 Loops, branches, and controlflow
The MATLAB code has its own instructions for flow of control statements
like 'forloops',
'while' and 'ifelseif' branching. See details
and examples...

For
loop
The for
loop repeats a group of statements a fixed, predetermined number of
times. A matching end
delineates the statements...
Application
of Nested Iterations (Matrix Multiplication)
We show a script in Matlab code that performs a matrix
multiplication stepbystep. The algorithm
displays all the
elements being considered for

the multiplication and shows how the
resulting matrix is being formed in each step. Obviously, Matlab can do
it with just one operation, but...
Pascal's Triangle
Let's calculate the coefficients of binomial expansions...
Armstrong Numbers
An
Armstrong
number (sometimes called also narcissistic numbers)
of three digits is an integer such that
the sum of the cubes of its digits equals the number itself. For
example, 407
is an Armstrong number since 4^3 + 0^3 + 7^3 = 407...
While
loop
The while
loop repeats a group of statements an indefinite number of times
under control of a logical condition. A matching end closes the
statements...
Square
Root (using whileloops)
We’ll
explore a square
root algorithm as an excuse to use
whileloops
in our numerical software. We’re not going to use the builtin
function ‘sqrt’...
Collatz Sequence (whileloops)
The Collatz conjecture is
an
unsolved
conjecture in mathematics. This conjecture is also known
as 3n + 1 or
the Syracuse
problem; the sequence of numbers involved is referred to
as the hailstone
sequence...
If...
elseif...
else... end (branches or decisions)
The if
statement evaluates a logical expression and executes a group of
statements when the expression is true.
The optional elseif
and else
keywords provide for the execution of alternate groups of statements...
Break
(exit from loops)
The break
statement lets you exit early from a for or while loop. In nested
loops, break
exits from the innermost loop only...
Control
Flow: forloops, ifstatements, break (in a Matrix Inversion)
This program performs the matrix
inversion of a square matrix
stepbystep. The inversion is performed by a modified GaussJordan elimination
method. We start with an arbitrary square matrix and a samesize
identity matrix (all the elements along its diagonal are 1)...
SwitchCaseOtherwise
The switch
statement executes groups of statements based on the value of a
variable or expression. The keywords case and otherwise delineate
the groups...
Piecewise Functions
A piecewise
function (or piecewisedefined function)
is a function whose definition changes depending on the value of the
independent variable...
Equation of Straight lines
We'll develop
three functions to work out
equations of
straight lines in Matlab with different approaches...
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