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Matrix Law Book 1
By G.D.Mutch
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Celebrate Humanity

Group 1 Matrix
[Completing An Odd Value Matrix]

The 3 basic constructs of all matrices :

	Group 1 : Odd value matrices e.g. 3,5,7,9.... etc
	Group 2 : Even by 4. Even matrices that divide by 4 e.g. 4 ,8, 12,16...etc
	Group 3 : Even not by 4. Even matrices that do not divide by 4 e.g. 6,10,14... etc

You will quickly learn in a short time how to identify a matrix so as to be able to map it to some reality system. You will lean to identify these odd an even matrices because you will be using different patterns an constructs to complete each type of matrix. You will learn that you do not need to be versed or have a solid foundation in mathematics at all. Once you know how to complete the basic group 1,2 or 3 matrices you will know how to do any size matrix from then on. What reality system you map the matrix too is really up to you. Matrices can be used for infinite real life purposes.

Starting Cell [Sc]
The starting cell for all group1 matrices is always the centre cell on the top row. You enter the very first value into this cell position when you start to fill in the matrix.

Start Level [Sl]
The start level of any matrix is the very first numerical value assigned to the starting cell. You do not need to start a matrix from the level of number 1. You can start a matrix using positive, negative, integer, real or decimals values. You can start a matrix at any level you wish.

Stepping Value [Sv]
Important : no matter what level you start your matrix from, you must always use a constant stepping value, otherwise the matrix will never balance correctly. If your stepping value increments by 1 then you must continue incrementing by 1 until the matrix is complete. If you choose a cell stepping value of 3.5 then you must never change this value while filling in the increment cells of the matrix.

Centre Value [Cv]
The centre value is the single centre cell of any group 1 matrix. The centre value also represents the 4 centre cells of any group 2 or group 3 matrix. The centre cell(s) are the pivot point of all matrices. It is the value of the centre cell that gets used in most matrix calculations.

Line Value [Lv]
The line value is the sum of the cells for any horizontal, vertical or diagonal line.

Line Options [Lo]
The line options are the total number of horizontal, vertical and diagonal lines in a matrix. Example. A 3x3 matrix has 8 line options. A 7x7 matrix has 16 line options.

Line option formula : (Matrix Root x 2 )+ 2

First Ring [Rn]
The first ring of cells are all the cells that surround the centre cell. E.g the first ring of cells of a 3x3 matrix is the sum of the 8 cells that circumference the centre cell. In group 1 matrices rings always expand outward from the centre by increments of 8 cells. In a 7x7 matrix the first ring of cells is 8 cells around the centre; the second ring of cells is the 16 cells that circumference the first ring; the third ring is the 24 cells that circumference the second ring an so forth. With all group 1 matrices cell rings expand outward from the centre most cell in multiples of 8 cells or octaves if you like.

Balanced Matrix [Bm]
A balance matrix is a matrix who's cell line values are summed symmetrical in value. No matter which way you add a balanced matrix the line values will always add to the same value.

Unbalanced Matrix [uBm]
An unbalance matrix is a matrix who's line values are not summed symmetrical in value. If you add the cell line values of an unbalanced matrix the line values will always change or add to a different value.

Matrix Root [Mr]
The base matrix root value of any group 1,2 or 3 matrix. Matrix root is the same as square root. E.g. the matrix root of a 3x3 matrix is 3, a 4x4 = 4 , a 99 x 99 matrix = 99 etc... Matrix Root is also referred to as the Order of the matrix, or Matrix Order

Matrix Layers [Ml]
Matrices are made up from smaller matrices or cells. Matrices go from unbalanced to balanced when stepping up or down through each layer. The single cells of each an every size matrix can represent an entire completed matrix in themselves. Example, each cell of the 3x3 matrix of figure 1 could represent an island universe from the matrix of the cosmos. Each island universe cell can be broken down into multiple layers of infinite matrices again, right down to multiple matrices of the atomic universe. As you step down through layers of matrices they go from balanced to unbalanced.

Frequency [Fo]
The frequency of the matrix is the line value multiplied by the matrix root. Or the sum total of all cell values in the matrix.

Group One Matrix

Completing any odd or even value matrix is relatively easy once you know how do it. The hard part is knowing how to derive valid useable information from out of the matrix once you have balanced all the initial values. I will take you step-by-step through each of the first group 1 group 2 and group 3 matrices.

Key Points :

	The first group 1 matrix is 3x3 cells.
	The first group 2 matrix is 4x4 cells.
	The first group 3 matrix is 6x6 cells.
	Matrices are made up of smaller individual matrices or cells.
	One matrix equals the entire blocks of cells.
	One cell equals one single square in an entire matrix.
	The smallest size matrix is a single cell.
	The next smallest is a 2x2 cell matrix. A 2x2 cell matrix is used as the centre building blocks of all group 2 an group 3 matrices. See figure 2.

Group 1 matrices are used by natural processes . Group 1 matrices belong to the order of nature.

Matrix Line Diagram

	X

	X

	X

X	Start Cell of all Group 1 Matrices
	Left Diagonal Line Value
	Right Diagonal Line Value
	Horizontal or Vertical Line Value

figure 1

Matrix Centre Building Blocks
The origins of all matrices start from the centre building block. Nearly all information derived from any size matrix is with respect to the centre building block. You can see with figure 2 that group 1 have a single cell as the centre reference point, where as group 2 and group 3 matrices have a block of 4 cells. Each cell or block of cells is referred to as the centre cell(s).

Centre single cell building block of all group 1 matrices

06	10
07	11

Centre 4 cell building block of all group 2 and group 3 matrices.

figure 2

The First Group 1 Matrix

3x3 Group 1 Matrix

Unbalance Matrix

1	4	7	15
2	5	8	15
3	6	9	15
6	15	24	15

Balanced Matrix

8	1	6	15
3	5	7	15
4	9	2	15
15	15	15	15

figure 3

The First Group 1 Matrix

In the matrix of figure 3 we see the unbalance matrix to the left and the balanced matrix to the right. When we count down the columns of the unbalanced matrix using our natural counting increments (i.e.. 1,2,3, 4 etc.), we usually start counting from the upper left cell and count down while sequentially moving from the left most column to right most column. Disregarding the aqua coloured cells for the moment, you can see that the unbalance matrix of figure 3 starts from the top left corner at number 1 an ends going down the columns at number nine. The count is sequentially incremented from 1 to 9 an is stepping by increments of 1. On the other hand the balance matrix on the right of figure 3, according to nature has no sequence at all. But the balance matrix is how nature organises it's true counting sequence. In nature no single thing is perfect yet every thing situated in the given matrix domain is organised to be in perfect harmony. Matrices go from balanced to unbalanced as they step through the levels of every matrix. Matrices are made up from smaller matrices. As you see in figure 3 above we have 9 smaller cells that go into making up the larger 3x3 matrix. At one time or another you may need to understand the multi-layer matrix within matrix principle. We could easily reduce the 3x3 matrix of figure 3 down to one summed value of 45 an place it into a single cell in another larger matrix. This matrix within a matrix principle starts from the structure of electrons whirling around the atom right up to the single matrix of one entire universe. Yes all the atoms of the entire universe can be broken down into structure within structure, mathematical matrix layer within mathematical matrix layer. Everything starts from ONE whole.

A 3D Object Mapped Onto A 2D Plane.

The very first thing you need to understand before filling in any matrix is that the matrix is a 3D torus object being mapped onto a 2D piece of paper. All sides of a 2D matrix wrap around to touch every other side, including the diagonals. The top row of the matrix wraps down around to touch the bottom rows. The left side of the matrix wraps around into a cylinder to touch the right side. The diagonal top left corner wraps down to the diagonal bottom right corner. The diagonal top right corner wraps down around to the bottom left corner. In affect we have open the sides of a torus shape object and laid it out flat on the table in a 2D plane. It is highly important that you understand the wrapping principle to be able to fill in any Group 1 matrix with numerical values. The secret to completing any group 1 odd value matrix is in the upward diagonal incremented counting procedure. You should always start increment counting from the top row centre cell with all group 1 matrices. (See figure 4 below.) You should always count along the diagonal moving towards the upper right. If you could rotate the matrix page 45 deg. clockwise you would be filling in the matrix as you would normally write from left to right. But as it stands the matrix must be filled in moving upward along the diagonal...

Filling in the 3x3 Matrix Step by Step

Matrix Information::
3x3 Matrix
Matrix Root = 3
Start Value = 1
Step Value = 1
Centre Value = 5
Line Value = 15 [Matrix root x Centre value]
First Ring = 40 [Centre value x 8 cells around centre]
Frequency = 45 [Matrix root x Line value ]

Step-By-Step Diagram

	1

	1

		2

	1
3
		2

	1
3
4		2

	1
3	5
4		2

	1	6
3	5
4		2

	1	6
3	5	7
4		2

8	1	6
3	5	7
4		2

8	1	6
3	5	7
4	9	2

figure 4

Step-By-Step Diagram

The above matrix of figure 4 is a step-by-step block diagram of how to fill out any size group 1 odd value matrix. As you fill out each cell you move on a diagonal towards the upper right. You may not overwrite any existing cell value with any other value. When you encounter an already filled cell you must drop directly vertical to the cell below and continue counting diagonal to the upper right once again. You continue counting diagonal towards the upper right, dropping down vertical or wrapping around until all cells of the matrix are filled. You may start to get a little confused when you count along the right diagonal and reach the upper right cell currently occupied by the number 6. Remember the diagonals wrap around as well, so if you where to continue to count diagonally outside the matrix up passed the number 6, you would wrap back around onto the number 4 on the opposite side of the diagonal. So you must drop down vertical under number 6 and continue to count upward along diagonal once again. See figure 5 below.

	9	2	4
8	1	6	8
3	5	7	3
4	9	2

figure 5

The trick to filling out any size group 1 matrix is remembering where and when each cell wraps to the other side of the matrix. You cannot place any value on top of another value or outside the completed matrix, therefore you must wrap around and place the value on the opposite side of the row or column you are currently working. (study figure 4 & 5). The 3x3 matrix of figure 5 shows you in more detail how the values wrap around to the cells on the opposite side. The black cells are the imaginary cells that wrap around from the opposite side of the real matrix. Once you understand how to increment count upward along the diagonal while dropping down and wrapping around to the opposite side; you will be well on your way to doing any size group 1 odd value matrix with confidence.

3x3 Group 1 Matrix

8	1	6	15
3	5	7	15
4	9	2	15
15	15	15	15

figure 6

In the completed 3x3 matrix of figure 6 you will see I have added all the sum line values to the outside of the matrix.(See aqua coloured cells.) You will see that this matrix has a line value of 15. No matter which way you add the line values of this matrix the sum cell values of each individual line will always add to the value 15. There is a lot more information you can learn about all group 1 matrices. The yellow cells in figure 6 represent the first ring of 8 cells around the centre. If using a 5x5 matrix the next ring out from the centre would be the first ring+8 cells bigger again. Natural Wave Propagation also follow principles congruent to matrix law.

Key Points:

The Line value is always the Centre cell value x the Matrix root .
The First ring (8 cells around the centre) always equals the Centre cell value x 8.
The Frequency always equals the Line value x the Matrix root/order.
The Start value is the first number you start with.
The Step value is the value you multiply by during each increment step of the matrix.

Important.
A matrix will only ever balance if you use a uniform step value. You cannot use a sporadic step value to get any matrix to balance correctly. Nature does not step using sporadic random values. Energy packets from nature step outwards from the centre in uniform wavelets or rings like ripples on a pond. Therefore you should never change the stepping value half way through completing a matrix.

Additional Matrices

5x5 Square Matrix

17	24	1	8	15
23	5	7	14	16
4	6	13	20	22
10	12	19	21	3
11	18	25	2	9

figure 7

7x7 Square Matrix

30	39	48	1	10	19	28
38	47	7	9	18	27	29
46	6	8	17	26	35	37
5	14	16	25	34	36	45
13	15	24	33	42	44	4
21	23	32	41	43	3	12
22	31	40	49	2	11	20

figure 8

9x9 Square Matrix

47	58	69	80	1	12	23	34	45
57	68	79	9	11	22	33	44	46
67	78	8	10	21	32	43	54	56
77	7	18	20	31	42	53	55	66
6	17	19	30	41	52	63	65	76
16	27	29	40	51	62	64	75	5
26	28	39	50	61	72	74	4	15
36	38	49	60	71	73	3	14	25
37	48	59	70	81	2	13	24	35

figure 9

To further help the reader I have inserted some additional matrices. If you have difficulty in doing any of these matrices then go back and study the first group one 3x3 matrix of figure 4. Completing all the larger group one matrices is identical to completing the step-by-step 3x3 matrix in figure 4. With a little practice you will learn to do these matrices quickly and easily. This is by no means the only way to complete a group 1 matrix, but the technique I have shown here is by far the most simplest approach. There is many an various ways to balance any group matrix. Some matrix balancing techniques are more useful when pertaining to their reality mapping applications. It all depends on the person and what the matrix will be used for.

Hint : When you first start to do matrices for the first time, you may like to purchase a quad rule lecture pad in which you can quickly draw your matrix patterns. The quad lecture pads come pre-printed with matrix cells and lines already drawn. If you use a lead pencil instead of an ink based pen, then you can quickly rub out any little mistakes, with out redoing the whole matrix.

Group 1 Matrix

Group 1 Matrix [Completing An Odd Value Matrix]

Group One Matrix

A 3D Object Mapped Onto A 2D Plane.

Filling in the 3x3 Matrix Step by Step

Group 1 Matrix
[Completing An Odd Value Matrix]