Samples of Math Arrays

Introduction to samples of math arrays:

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. In this article we shall discuss about samples of math arrays.

Samples of Math Arrays:

Array in math:

The symbol representation of array in math is as follows m `xx` n. The first element in the representation (m) denotes number of rows in the array and second element in the representation (n) denotes the number of columns in the array. For example 66 this array has six rows and six columns. The array is represented by capital letters.

The following diagram represents the structure of an array.



We can do the following operations in array

Addition
Subtraction
Multiplication
Addition:

Addition operation in matrix is easy and it is similar to normal addition.

Subtraction:

Subtraction operation in array or matrix is some more difficult than normal division.

Step 1:

Fin the negative matrix

Step 2:

Add the negative matrix with next matrix

For example if we do A- B means first find the negative of B and then add with A like A+(- B)

Multiplication:

Multiplication in array is similar to multiplication. Multiply the every element in the array by the multiplier.

Samples for Arrays:

Samples for arrays:

Sample 1:

Add the following two matrixes

A= `[[2,5],[4,7]]` B= `[[11,8],[2,1]]`

Solution:

Given

A= `[[2,5],[4,7]]`

B= `[[11,8],[2,1]]`

A + B=  `[[2,5],[4,7]]` + `[[11,8],[2,1]]`

A + B = `[[2+11,5+8],[4+2,7+1]]`

A + B =`[[13,13],[6,8]]`

Form of A + B = `[[13,13],[6,8]]`

Sample 2:

Subtract the following two arrays

A= `[[6,9],[3,6]]` B= `[[-2,6],[4,-5]]`

Solution:

Given

A= `[[6,9],[3,6]]`

B= `[[-2,6],[4,-5]]`

If we do A- B first find the negative of B and then add with A like A+(- B)

Step 1:

Fin the negative matrix of B

-B= - `[[-2,6],[4,-5]]`

-B = `[[2,-6],[-4,5]]`

Step 2:

Add the negative matrix with next matrix

A + (- B) =  `[[6,9],[3,6]]` + `[[2,-6],[-4,5]]`

A + (- B) = `[[8,3],[-1,11]]`

Form of A + (- B) = `[[8,3],[-1,11]]`