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