Determinant of a matrix.

For this course, we shall restrict ourselves to the determinant of a 2x 2 matrices only.

The determinant of a 2 2 matrix is the difference between the products of the leading diagonal and the minor diagonal.
It is denoted as det.

Consider the matrix below:

image 83

Its determinant is denoted by det A or IAI and is defined as:

image 84

a) Given that

image 85


image 86

b) Given that A = PB. Find det A, if

image 87


image 88

c) Given that

image 89

possible values of a


image 90

Some matrices have det = 0. Such matrices are called singular matrices where as those for which det ≠0 are known as non-singular