## Monday, 10 June 2013

### MATRICES: SIGNIFICANCE & PURPOSE

|||| MATRICES are a way to help us understand the design or the content of an object in real-life when put on a paper in a block-format.

Examples of matrices in real life.

BUT WHERE TO USE MATRICES?  HOW DO WE KNOW WHEN AND WHEN NOT TO USE MATRICES?

|||| Everything under the sun can be put into a matrix-format. Einstein put the whole universe in a 4-dimensional matrix: 3 dimensions of space & one dimension of time.

|||| Well, its just a question of whether it would be useful for you to do so.

|||| Basically, the graph paper that you use is also a matrix.

|||| The latitudes and longitudes are also a matrix.

THE TRANSPOSE OF A MATRIX.

|||| The transpose of a matrix basically is nothing but the whole matrix ( or the object which you are representing as a matrix) rotates by 180 degrees.

|||| The diagonal of the matrix is the axis along which the object is rotated.

|||| Now obviously , if you rotate the object twice by 180 degree, the object  comes back to how it was.

|||Transpose of A = Rotation by 180 degrees.

|||| Therefore Transpose of (Transpose of A)= Rotation by 360 degrees = A

|||| Thus transpose of ( transpose of A) = A is like saying that if you take a matrix A, rotate it first by 180 degree and then once more by 180 degree, A will come back to as it is .

THE DIAGONAL OF A MATRIX.

|||| The diagonal of a matrix is very similar to the axle of car.

|||| You may have wondered why the diagonal elements of a matrix remain where they in spite of operations like taking a transpose.

APPLICATION OF MATRICES.

|||| Imagine a map. On this map you are plotting the height of every form of landscape of India.

|||| Where there are mountains, In your matrix, obviously, the content in that block of the matrix will go high.

|||| On sea, level, the value of that block in the matrix will be zero.

|||| If the value in the matrix at any point goes below zero, that place is below sea-level (i.e a mine or something).

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THE ABOVE IS A EXCERPT FROM A BOOK AVAILABLE FOR PURCHASE (5\$) AT THE FOLLOWING LINK

AVAILABLE FOR PURCHASE FOR 5\$ (INR 300) HERE (PDF)

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I hardly understood Math in school. In fact was on the verge of dropping the subject I loved the most because as much as I loved the theory of it, I could not understand the math involved in it. However I loved the subject too much to be able to live without. Hopelessly, I was continuing my love-affair with it.

Then one day....a miracle happened,....while applying a certain formula again and again.....I came to know its significance. Slowly and steadily....other equations also started clicking. I got to see a strong relationship between Maths and the Physics it was pointing towards. They both were the same. Maths was just an easy language to express a physical phenomenon. And a bit more to that in the sense that it could even predict the behaviour of a certain physical phenomenon. Equations now as if came to life.

Every equation now had as if something to say. A burning urge to share these things with the world aflamed within me. So that no one has to give up the subject that he or she loves the most.
The book on visualizing maths thus got written as a sprout of inspiration. The blog followed. Both these are dedicated to you and all such similar minds searching for answers.

Visualizing Math & Physics is a blog dedicated to you and all such similar minds searching for answers.

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CONTACT
binnoypanicker@gmail.com

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