Nov. 5, 2019

Introduction Determinants,Expansion &Properties:



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.

a11x+ a12y = l

  a21x+ a22y = m

Solving the above equations for x and y, we have

Here, the numbers a11 , a12 , a2l and a22 are called the elements of a determinant and
(a11 a22 – a12 a21 )is called the value of the determinant.
Now, the expression (a11 a22 – a12 a21 ) can be expressed in an ordered array of elements which is a
determinant of order two in this case, such that