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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