Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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Properties of Transpose of the Matrices

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notes

For any matrices A and B of suitable orders, we have 
(i) (A′)′ = A, 
(ii) (kA)′ = kA′   (where k is any constant) 
(iii) (A + B)′ = A′ + B′ 
(iv) (A B)′ = B′ A′ 

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