Matrix can be considered as an array where elements are stored in the form of rows and columns. Here elements in matrix can be considered as any type like algebraic expression, symbols or numbers. Matrix can be treated as a useful way for representing the linear transformation in a simple manner. Values in a matrix can be represented as shown below.
Suppose we have some values like 1, 2, 3, 4, 5, 6, 7, 8 and 9.
We have a matrix of 3 * 3 size then it can be represent above given values in form of matrix as:
1 2 3
4 5 6
7 8 9
Now we will discuss about one of the types of matrix which is known as identity matrix. According to the definition of Identity matrix we can say that it is a kind of matrix where I A = A and A I = A. If we want to simplify the definition of identity matrix then we can say that it is square matrix which has a value 1 in diagonal position of matrix from top left to down right and all remaining position carry value zero into it. Sometimes this matrix is also known as unit matrix. How a identity matrix looks like is given below:
1 0 0
Identity Matrix = 0 1 0
0 0 1
Some properties of identity matrix are described below:
A ) When unit matrix includes the product of two square matrix then it can be said that it generates the inverse of one another.
B ) When unit matrix is multiply by itself then it generates the same output.
C ) This kind of unit matrix has a positive definite square root value.
In mathematics, the concept of Math Order of Operations defines a priority level of any operation that describes which operation should be performed first when any mathematical expression carry multiple operations.
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