True or false: transposes
Exercise and reference answers
- Questions
- Statement is true
- Yes
- Statement
- (A′)′ = A.
- Statement is true
- Yes
- Statement
- (A + B)′ = A′ + B′.
- Statement is true
- No
- Statement
- (AB)′ = A′B′.
- Statement is true
- Yes
- Statement
- (AB)′ = B′A′.
- Statement is true
- Yes
- Statement
- (kA)′ = kA′.
Explanation
The transpose rules, with the product rule as the one that bites. Source: syllabus Maths Part I, Ch 3 Matrices.
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