HUMANTRIX -The Human aspect of a Matrix

Definition: A matrix is a collection of numbers arranged into a fixed number of rows and columns.

It is interesting to enter into the human aspect of Matrix. It’s an attempt to correlate matrix with human behaviour.

Application of matrix:

Matrices are used extensively in algebra, statistics, computer programming and strategy formulation (Game theory).

Algebra: It is used to solve algebraic equations. Eg: simultaneous equations

Statistics: It is used to get the best path for salesman. It is also used in goal formulation.

Computer Programming: It is used in computer graphics.

Strategy Formulation: Game Theory makes use of matrices to find the most appropriate strategy for the company by solving the trade-off matrix.

Lessons from matrix

1) A matrix has many elements that work together to find a solution. It symbolizes unity.

It posits that we should also work together to find a solution.

2) The elements are enclosed in square brackets [ ]. They represent constraints. A matrix gives solution within constraints. In life, we also have environmental and intrinsic constraints. We should work within constraints and provide solutions.

3) It transforms itself in the process of finding the solution. We should also adapt ourselves as per the situation and find a solution.

4)

This is a Identity matrix. An identity matrix has 1’s as elements in one of its diagonals. It can be interpreted in a different way. The diagonal 1s represent the LOC of J&K. The people on either side of the line are same (represented by 0s).

5) Identity matrix has a unique property. The output of matrix multiplication of a matrix with an identity matrix is the matrix itself.

Eg:

This can be interpreted as follows:

Attitude x Intelligence = Achievement

A person having attitude and intelligence can become an achiever in life.

6) The rule of addition of matrices postulates that matrices of the same number of rows and columns only can be added.

Eg: A_3x3 + B_3x3 = C_3x3

Human aspect: Make friends with like minded people and exchange ideas to get transformed into a better person.

7) The rule of multiplication of matrices postulates that two matrices can be multiplied only if number of columns of 1^st matrix = number of rows of 2^nd matrix.

Eg: A_3x4 . B_4x2 = C_3x2

Human aspect: Teamwork is important to get productive output. There should be mutual consent and co-operation. The common number of rows and columns of the 2 matrices represent cooperation and consent.

8) When a matrix is multiplied with its inverse then the result is an identity matrix.

Eg: A^-1 A = I

Human aspect: Here the matrix (A) can be considered as the good qualities of a human being. The negative qualities of human being are represented by the inverse of the matrix (A^-1). The resultant matrix ‘I’ represents an individual.

Hence the equation A^-1 A = I can be framed as under:

‘I am a combination of good and bad.’