Study Online Elementary Matrices

Introduction to study online elementary matrices:

The online studying process of the elementary matrices represents the different learning way in its element representation and in operations by which the elements act under the corresponding operation. The operations in the matrices generally involve addition, subtraction, multiplication, division, inverse operations, etc.. In this article we are going to see the matrices operation with the elementary operation.

consider the matrix H =  ` [[-7,197,7],[-97,97,197]]`    It have the dimension of 2 x 3 order.

Total elements calculation 2 x 3 = 6 elements.

consider H =  ` [[-7,197,7]]`   It have the dimension of 1 x 3 order.

Total elements calculation 1 x 3 = 3 elements

Study online elementary matrices with examples


Online studying for the elementary matrices with the help
`[[12,13,14,15],[21,22,23,24],[25,26,27,28]]`   = `[[12,13,14,15],[21,22,23,6x],[25,26,27,28]]`


Solution:

Here the matrices present on the left side and the right side are equal in the dimension of 3 x 3.

Y =  `[[Y_11,Y_12 ,Y_13,Y_14 ],[Y_21 ,Y_22 ,Y_23,Y_24 ],[Y_31 ,Y_32 ,Y_33,Y_34 ]]`  =`[[12,13,14,15],[21,22,23,24],[25,26,27,28]]`

Y11 = 12              Y12 = 13                  Y13 = 14                Y14 = 15

Y21 =21                Y 22 =22                Y23 = 23                 Y24 =24

Y31 = 25               Y32 = 26                Y33 = 27                Y34 = 28

And   R =  `[[R_11,R_12 ,R_13,R_14 ],[R_21 ,R_22 ,R_23,R_24 ],[R_31 ,R_32 ,R_33,R_34 ]]`  =`[[12,13,14,15],[21,22,23,6x],[25,26,27,28]]`

R11 = 12              R12 = 13                R13 = 14                R14 = 15

R21 =21                R22 =22                R23 = 23                R24 =6x

R31 = 25               R32 = 26               R33 = 27                R34 = 28

In the given problem the similarity exists in the matrices

Y24 = 24   and    R24 = 6x

The similar matrices having the elements same

Y24 =  R24

6x = 24

And therefore the constant x = 4 is the answer.

Understanding Elementary Row Operations is always challenging for me but thanks to all math help websites to help me out.

Problems to study online elementary matrices


Online studying for the elementary matrices with the help
`[[12,13,14,15],[21,22,23,24]]`   = `[[12,13,14,15],[21,22,23,6x]]`


Solution:

Here the matrices present on the left side and the right side are equal in the dimension of 3 x 3.

Y =  `[[Y_11,Y_12 ,Y_13,Y_14 ],[Y_21 ,Y_22 ,Y_23,Y_24 ]]`  =`[[12,13,14,15],[21,22,23,24]]`

Y11 = 12              Y12 = 13                  Y13 = 14                Y14 = 15

Y21 =21                Y 22 =22                Y23 = 23                 Y24 =24

And   R =  `[[R_11,R_12 ,R_13,R_14 ],[R_21 ,R_22 ,R_23,R_24 ]]`  =`[[12,13,14,15],[21,22,23,6x]`

R11 = 12              R12 = 13                R13 = 14                R14 = 15

R21 =21                R22 =22                R23 = 23                R24 =6x

In the given problem the similarity exists in the matrices

Y24 = 24   and    R24 = 6x

The similar matrices having the elements same

Y24 =  R24

6x = 24

And therefore the constant x = 4 is the answer.

Elementary Multiplication

Introduction to elementary multiplication:

Here we are going to see the elementary multiplication, generally multiplication is called as the repeated addition, suppose if we are combine the same 9 groups with 5 objects in each group means it will be written in multiplication format of 5*9 = 45, we get the same answer in addition also, it will be shown below 9 +9+9+9+9+9 = 45. Let us see about elementary multiplication in the given below article.


Multiplication as repeated addition using elementary multiplication:

Multiplication is continuous addition of same number to some extent.  So we can say increase as immediate adding (repeated addition).

For example,

By add 2 for 4 times we result obtain 8.

2+2+2+2=8

Directly multiplying 2 with 4 also we can get 8.

4`xx` 2=8


Example Problem for elementary multiplication


Example 1

Multiplying two numbers 10 and 3

Solution:

The given two numbers 10 and 3

We need to find the product of two numbers

By multiple 10 and 3

We get 30

So the answer is 30

Example 2

Multiplying two numbers 35 and 5

Solution:

The given two numbers 35 and 5

We need to find the product of two numbers

By multiplying 35 and 5

We get 175

So the answer is 175

Example 3

Multiplying two numbers 33 and 44

Solution:

The given two numbers 33 and 44

We need to find the product of two numbers

By multiplying 33 and 44

We get 1452

So the answer is 1452

Example 4

Multiplying two numbers 50 and 60

Solution:

The given two numbers 50 and 60

We need to find the product of two numbers

By multiplying 50 and 60

We get 3000

So the answer is 3000

Example 5

Multiplying two numbers 120 and 70

Solution:

The given two numbers 120 and 70

We need to find the product of two numbers

By multiplying 120 and 70

We get 8400

So the answer is 8400

Example 6

Multiplying two numbers 92 and 87

Solution:

The given two numbers 92 and 87

We need to find the product of two numbers

By multiplying 92 and 87

We get 8004

So the answer is 8004

Example7

Multiplying two numbers 23 and 17

Solution:

The given two numbers 23 and 17

We need to find the product of two numbers

By multiplying 23 and 17

We get 391

So the answer is 391.

Solving Fractions Elementary

Introduction for Solving Fractions Elementary:

A fraction (from the Latin fractus, broken) is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development were the common or "vulgar" fractions which are still used today (½, ?, ¾, etc.) and which consist of a numerator and a denominator.

Source – Wikipedia.

In this article we shall discuss about the how to solve fractions in elementary level

Is this topic Improper Fractions to Mixed Numbers hard for you? Watch out for my coming posts.

Solving Fractions Elementary – Addition:


The following examples of addition problems show the fractions for elementary.

Addition of fractions: `1/10 + 1/10` .

Solution:

Denominators are same so we go to next step.

Add the numerators and denominator as same.

= `1/10+1/10`

= `(1+1)/10`

By simplifying we get

= `2/10`

= `1/5` is the solution.

Addition of fractions: `2/32 + 2/32` .

Solution:

Denominators are same so we go to next step.

Add the numerators and denominator as same.

= `2/32+2/32`

= `(2+2)/32`

By simplifying we get

= `4/32`

= `1/8` is the solution.

Addition of fractions: `3/54 + 3/54` .

Solution:

Denominators are same so we go to next step.

Add the numerators and denominator as same.

= `3/54+3/54`

= `(3+3)/54`

By simplifying we get

= ` 6/54`

= `1/9` is the solution.

Having problem with math problems 6th grade keep reading my upcoming posts, i will try to help you.

Solving Fractions Elementary – Subtraction:

The following examples of subtraction problems show the fractions for elementary.

Subtraction of fractions: `1/10 - 2/10` .

Solution:

Denominators are same so we go to next step.

Subtract the numerators and denominator as same.

= `1/10-2/10`

=` (1-2)/10`

By simplifying we get

= `-1/10` is the solution.

Subtraction of fractions: `2/32 - 4/32` .

Solution:

Denominators are same so we go to next step.

Subtract the numerators and denominator as same.

= `2/32-4/32`

= `(2-4)/32`

By simplifying we get

= `-2/32`

= `-1/16` is the solution.

Subtraction of fractions: `5/40 - 10/40` .

Solution:

Denominators are same so we go to next step.

Subtract the numerators and put the denominator as same.

= `5/40-10/40`

= `(5-10)/40`

By simplifying we get

= `-5/40`

= `-1/8 ` is the solution.