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Tap every statement that is true of a non-singular matrix

Exercise and reference answers

Questions
  1. Items
    1. Text
      |A| ≠ 0
      Matches the category
      Yes
    2. Text
      A⁻¹ exists
      Matches the category
      Yes
    3. Text
      A (adj A) = |A| I
      Matches the category
      Yes
    4. Text
      |A| = 0
      Matches the category
      No
    5. Text
      A has no inverse
      Matches the category
      No
    Category
    True of a NON-singular matrix
  2. Items
    1. Text
      It carries a factor of ½
      Matches the category
      Yes
    2. Text
      It is zero when the points are collinear
      Matches the category
      Yes
    3. Text
      Its third column is all 1s
      Matches the category
      Yes
    4. Text
      It is always positive before taking modulus
      Matches the category
      No
    5. Text
      It needs four points
      Matches the category
      No
    Category
    True of the AREA determinant of a triangle

Explanation

Non-singular, invertible and |A| ≠ 0 are three names for one condition. Source: syllabus Maths Part I, Ch 4 Determinants.
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