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Matrix operations:
There are some common operations on matrices. The operators which are applied term by term, implying that the matrices should be of similar size, sometimes are termed to as array operations. These involve addition and subtraction.
The Matrix addition means adding the two matrices term by term, that means they should be of the similar size. In mathematical terms, this is written cij = aij + bij.
Similar to the matrix addition, matrix subtraction means to subtract term by term, therefore in mathematical terms cij = aij - bij. This would also be accomplished by using a nested for loop in many languages, or by using the - operator in a MATLAB.
The Scalar multiplication means to multiply each and every element by a scalar number
This would also be accomplished by using a nested for loop in many languages, or by using the * operator in a MATLAB.
Basic mathematical operations: All the basic mathematical operations can be executed on symbolic expressions and variables (example, add, raise to a power, multiply, subtract,
Forward substitution: The Forward substitution (done methodically by first getting a 0 in the a 21 place, and then a 31 , and lastly a 32 ): For the Gauss technique,
Data structures: The Data structures are variables which store more than one value. In order to made sense to store more than one value in a variable, the values must in some
Solving 2 × 2 systems of equations: However this may be easy in a MATLAB, in normal finding solutions to the systems of equations is not. The systems which are 2 × 2 are, thou
Defined a variable in work space: The variables defined in the script will become a part of the workspace: >> clear >> who >> mysummfile 15 >> who
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)
Implementation of binary search: The binary search can be implemented as a recursive function. The recursive function below also implements this binary search algorithm. It re
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
Scaling: change a row by multiplying it by a non-zero scalar sri → ri For illustration, for the matrix:
Replacement : Replace a row by adding it to (or subtract from it) a multiple of the other row. For a given row ri, this is written as ri - srj → ri Note that when r
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