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Match each condition to what it tells you

Exercise and reference answers

Matching pairs
  1. Left
    |A| = 0
    Right
    A is singular, so A⁻¹ does not exist
  2. Left
    |A| ≠ 0
    Right
    A is non-singular, so A⁻¹ exists
  3. Left
    Area determinant = 0
    Right
    the three points are collinear
  4. Left
    AB = BA = I
    Right
    A and B are inverses of each other

Explanation

Reading a determinant as a yes/no test. Source: syllabus Maths Part I, Ch 4 Determinants.
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