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# Using Matrices to Find a Polynomial

TopPolynomial equations are defined as equations which consist of different types of combinations of constants and variables. These variables and constants can be in the form of addition, subtraction, multiplication and division. Polynomial equations are allowed to be divisible by a constant number but not by a variable as inverse of a constant is also a constant. Here is a way of Using Matrices to find a polynomial like every matrix can be represented in form of polynomial expressions. Every equation or expression can be represented in form of a matrix. An equation can be represented in form of ax + by + c = 0. Where a, b and c are constants whereas 'x' and 'y' are variables in an expression. Let us consider an example: there are two equations 2x + 3y = 5 and x + y = 2. This equation can be represented in form of matrix. Three matrices are formed where one matrix consists of 2, 3, 1, 1. Second matrix consists of x, y in form of column matrix and third matrix consists of 5, 2 in form of column matrix. Thus it is represented as follows:

Thus in the above figure, these three matrices represents three forms of expressions in which one matrix consists of variable and a separate matrix for constants. And for finding the values of x and y this matrix is represented in the form of determinant. The solution of any matrix is represented in the form of determinant. Determinant is the way of finding any solution of matrix and then on solving determinant values of variables are determined. A general matrix can be represented in the form of Za = πa where a is a constant and Z is a matrix. It can further be represented as (πI - Z)a= 0.. Thus using matrices to find a polynomial is not a difficult problem.