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Mathematics · 2026 · 1 mark
CBSE 2026 · Region 1 · Set 1 · Q3
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…
Which of the following properties is/are true for two matrices of suitable orders?
(i)
$\displaystyle (\mathrm{A}+\mathrm{B})^{\prime}=\mathrm{A}^{\prime}+\mathrm{B}^{\prime}$
(ii)
$\displaystyle (\mathrm{A}-\mathrm{B})^{\prime}=\mathrm{B}^{\prime}-\mathrm{A}^{\prime}$
(iii)
$\displaystyle (\mathrm{AB})^{\prime}=\mathrm{A}^{\prime} \mathrm{B}^{\prime}$
(iv)
$\displaystyle (\mathrm{kAB})^{\prime}=\mathrm{kB}^{\prime} \mathrm{A}^{\prime}$ ( k is a scalar)
Official answer
(D)
(i) and (iv)
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CBSE Class 12 Mathematics past-paper question from the 2026 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.