Back to: O LEVEL MATHEMATICS UGANDA FROM S2 TO S4

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

**Definition:**

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

**Solution**

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

**Solution**

c) Given that

possible values of a

**Solution**

**Note:**

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

matrices.