BodhiAI

Nov. 5, 2019

__INTRODUCTION TO DETERMINANTS__

Determinants arise in connection with simultaneous linear algebraic equations,

Expressions which are very complicated and lengthy can be easily handled if they are expressed as determinants.

*a*_{11}*x*+ *a*_{12}*y* = l

*a*_{21}*x*+ *a*_{22}*y* = m

Solving the above equations for *x* and *y*, we have

Here, the numbers a_{11} , a_{12} , a_{2l} and a_{22} are called the elements of a determinant and

(a_{11} a_{22} – a_{12} a_{21} )is called the value of the determinant.

Now, the expression (a_{11} a_{22} – a_{12} a_{21} ) can be expressed in an ordered array of elements which is a

determinant of order two in this case, such that