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CBSE Class 12 Math 2026 All Sets Solved Paper

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Question : 3 of 20
Marks: +1, -0
Which of the following properties is/are true for two matrices of suitable orders?
(i) (A+B)′=A′+B′(A+B)^{'}=A^{'}+B^{'}
(ii) (A−B)′=B′−A′(A-B)^{'}=B^{'}-A^{'}
(iii) (AB)′=A′B′(A B)^{'}=A^{'} B^{'}
(iv) (kAB)′=kB′A′(k A B)^{'}=k B^{'} A^{'} (k is a scalar)
Solution:  
(i) (A+B)′=A′+B′(A+B)^{'}=A^{'}+B^{'}
(ii) (A−B)′=A′−B′(A-B)^{'}=A^{'}-B^{'}
(iii) (AB)′=B′A′(A B)^{'}=B^{'} A^{'}
(iv) (KAB)′=K(AB)′(K A B)^{'}=K(A B)^{'}
=KB′A′=K B^{'} A^{'}
⇒ (i) and (iv) are ture.
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