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:
Its determinant is denoted by det A or IAI and is defined as:
a) Given that
b) Given that A = PB. Find det A, if
c) Given that
possible values of a
Some matrices have det = 0. Such matrices are called singular matrices where as those for which det ≠0 are known as non-singular