PURPOSE OF DETERMINANT OF A MATRIX IN REAL DAILY LIFE .

 

SO WHAT IS THE PURPOSE OF THE DETERMINANT OF A MATRIX IN REAL DAILY LIFE ? 

A Determinant is a measure of how many times larger is the area (in case of a 2 x 2 matrix) or Volume ( in case of a 3 x 3 matrix) w.r.t the area or Volume a unit cube.

So Determinant = RATIO OF how much is the area of the object matrix under consideration divided by the area of a unit square.

 

For 3 dimensional figures (3 x 3 ) matrices, instead of area ------> substitute volume. And instead of unit square ---------> substitute area.

BUT FIRST, I WANT YOU TO KNOW ABOUT HOW MATRICES ARE MAPPED ONTO A GRAPH.

 

 


 

 

Every element of the matrix may represent a certain co-ordinate that the matrix is stuck upon or hung upon.

For example, just look at the matrix above.What you will see is that the number 3 in the left-most and top-most section of the matrix represents 3 on the x-axis. 

3 lies on the x -axis and there is no y and z component to it. This means that there is one point or one vertex of the matrix such that it has co-ordinates of (3,0,0) on a 3-D graph.

 KEEP SCROLLING BELOW FURTHER THIS PAGE TO READ ABOUT NEGATIVE VALUES OF DETERMINANTS .......

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 YOUTUBE VIDEO

 

 

 

 

 

APPLICATION OF MATRICES IN REAL LIFE VIDEO

RELATED LINKS 

RELATIONSHIP BETWEEN DETERMINANT AND VOLUME OF A MATRIX

Determinants of a matrices give a relative volume of a matrix as compared to the volume of a unit matrix. 

This unit matrix will be a unit square if you are dealing with say a 2 dimensional matrix.

This unit matrix will be a unit cube if you are dealing with say a 3 dimensional matrix.

 

WHAT IF THE DETERMINANT OF A MATRIX IS -VE ? 

 

Say you get the determinant of a matrix as -2 .

It still means that the volume of your matrix or the area that your matrix is trying to denote is 2 times that of the unit cube or unit square.

THE ABSOLUTE VALUE OF YOUR MATRIX IS WHAT COUNTS

  

Not whether it is positive or negative.