Which of the following properties is/are true for two ...

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^{'}

(ii)

(A-B)^{'}=B^{'}-A^{'}

(iii)

(A B)^{'}=A^{'} B^{'}

(iv)

(k A B)^{'}=k B^{'} A^{'}

(k is a scalar)

(i) only
(i), (ii) and (iii)
(i) and (ii)
(i) and (iv)

Solution:

(i)

(A+B)^{'}=A^{'}+B^{'}

(ii)

(A-B)^{'}=A^{'}-B^{'}

(iii)

(A B)^{'}=B^{'} A^{'}

(iv)

(K A B)^{'}=K(A B)^{'}

=K B^{'} A^{'}

⇒ (i) and (iv) are ture.

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