CBSE Class 12 Mathematics 2026 Main Paper 65/1/1 · Q31 Marksmatrices

CBSE Class 12 Mathematics 2026 Main Paper 65/1/1 · Question 3 (Matrices)

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) (AB)′ = A′B′ (iv) (kAB)′ = kB′A′ (k is a scalar)

(A) (i) only
(B) (i), (ii) and (iii)
(C) (i) and (ii)
(D) (i) and (iv)

✅ Step-by-Step Solution

Final Answer: (D) (i) and (iv)

(i) is true: transpose of sum = sum of transposes.
(ii) is false: (A−B)′ = A′−B′.
(iii) is false: (AB)′ = B′A′.
(iv) is true: (kAB)′ = k B′A′.

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CBSE Class 12 Mathematics 2026 Main Paper 65/1/1 · Question 3 (Matrices)

✅ Step-by-Step Solution

Master Chapter 3: Matrices

All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/1/1

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