Array Definition Math

Introduction to array definition math:
Array has a list of data. In math array is a rectangular arrangement of elements. The elements are shown in rows and columns. In math array elements are put in the parenthesis or square brackets. In math the arrays are represented by capital letters for example A, B, C……An array is a symbolic way to represent math facts. Using symbols like circle, square or rectangle is one way of writing math facts in array.

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Definition of Array:

Definition of array:

The symbol m `xx` n is used to represent the array in math. The number of columns is represented by first element in the symbol and number of rows is represented by second element in the symbol. For example 2 `xx` 3 mean that array has 2 rows and 3 columns. The structure of array is rectangle. Array is used to be a symbol of the number of data.

Here

First row elements = a1, a2, a3

Second row elements = b1, b2, b3

Third row elements = c1, c2, c3

First column elements = a1, b1, c1

Second column elements = a2, b2, c2

Third column elements = a3, b3, c3

Symbol representation of above array is 3 `xx` 3

Total rows =3

Total column = 3

Types of Array or Matrix:

Types of array or matrix:

Column matrix
Row matrix
Square matrix
Diagonal matrix
Triangular matrix
Scalar matrix
Identity matrix
Zero matrix
Equality of matrix

Definition of column matrix:

Only one column is present in the column matrix.

Definition of row matrix:

Only one row is present in the row matrix.

Definition of square matrix:

If one matrix has equal number of row and column means called as square matrix.

Definition of diagonal matrix:

Other than diagonal elements in the array is zero means called as diagonal matrix.

Definition of triangle matrix:

Triangle matrix must be a square matrix. All the elements in above the diagonal are zero means called as lower triangle matrix. All the elements in below the diagonal are zero means called as upper triangle matrix.

Definition of unit matrix:

Unit matrix must be a square and diagonal matrix. The diagonal elements are one and the remaining elements in the array is zero means call as unit matrix.

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