Introduction into Matrix Operations
A matrix is an ordered rectangular array of numbers. A matrix with
m rows and n columns
has a size of m * n.
The entry in the ith row and jth
column is denoted by aij.
For matrices one can define usual basic operations such as addition,
subtraction, multiplication by a real number and also matrix multiplication.
With the help of such operations we are able to write the following system of equations
| p x1 + a11 x1 + a12 x2 | = | b1 |
| a21x1 + p x2 + a22 x2 | = | b2 |
in the compact way:
Matrix Operations Introduction
Equality
Addition
Multiplication by a real number
Subtraction
Not conformable Matrices
Definition of Matrix Multiplication
Existence of Matrix Multiplication
Size of Matrix Multiplication
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