**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 **

**RELATED LINKS**

**RELATIONSHIP BETWEEN DETERMINANT AND VOLUME OF A MATRIX**

**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.**