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Minors and cofactors

Exercise and reference answers

Questions
  1. Question
    How is the minor M₂₃ formed?
    Choices
    1. Delete row 3 and column 2
    2. Delete column 2 only
    3. Delete row 2 and column 3
    Correct choice
    Delete row 2 and column 3
  2. Question
    Cofactor A₂₃ equals
    Choices
    1. −M₂₃
    2. M₂₃
    3. 2M₃
    Correct choice
    −M₂₃
  3. Question
    Cofactor A₂₂ equals
    Choices
    1. −M₂₂
    2. M₂₂
    3. 0
    Correct choice
    M₂₂
  4. Question
    The sign attached to a cofactor is
    Choices
    1. (−1)^(i×j)
    2. always negative
    3. (−1)^(i+j)
    Correct choice
    (−1)^(i+j)

Explanation

The sign factor (−1)^(i+j) is the only difference between a minor and its cofactor, and it is where most marks are lost. Source: syllabus Maths Part I, Ch 4 Determinants.
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