Start learning →

If A and B are non-singular of the same order, then AB is:

ANon-singular
BSingular one
CAlways zeros
DNot defined
Answer & Solution
Correct answer: A. Non-singular
1. Multiplying two invertible matrices keeps invertibility. 2. Their determinants are both non-zero. 3. So AB and BA are also non-singular. 4. The answer is non-singular. _Source: syllabus Mathematics, Ch 4 'Determinants'_
Practise this question with Quill — AP Intermediate 2nd Year →

Keep practising Determinants

Browse all Determinants questions for AP Intermediate 2nd Year, or explore more Mathematics topics.

Start a Determinants lesson →