Brahmagupta matrix
Encyclopedia
The following matrix
was given by Indian mathematician
Brahmagupta
:
It satisfies
Powers of the matrix are defined by
The
and 
are called Brahmagupta polynomials. The Brahmagupta matrices can be extended to negative integer
s:
Matrix (mathematics)
In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions. The individual items in a matrix are called its elements or entries. An example of a matrix with six elements isMatrices of the same size can be added or subtracted element by element...
was given by Indian mathematician
Indian mathematics
Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics , important contributions were made by scholars like Aryabhata, Brahmagupta, and Bhaskara II. The decimal number system in use today was first...
Brahmagupta
Brahmagupta
Brahmagupta was an Indian mathematician and astronomer who wrote many important works on mathematics and astronomy. His best known work is the Brāhmasphuṭasiddhānta , written in 628 in Bhinmal...
:
It satisfies
Powers of the matrix are defined by
The
and are called Brahmagupta polynomials. The Brahmagupta matrices can be extended to negative integerInteger
The integers are formed by the natural numbers together with the negatives of the non-zero natural numbers .They are known as Positive and Negative Integers respectively...
s: