Matrices 5 marks Questions, CBSE Class 12 PYQs 2026

1 different 5 marks questions on Matrices from CBSE Class 12 Maths board exams 2026, newest first.

Q34 (OR) (OR)5 marksLong AnswerMatrices CBSE 2026 · 65/3/1

Given that $P = [23 - 1 4]$ , $Q = [5724]$ and $R = [2358]$ , find a matrix S such that $P Q - R S$ is a null matrix.

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Answer:

S = [- 191 77 - 110 44]

$P Q = [10 - 7 15 + 28 4 - 4 6 + 16] = [343022]$ .
We need $R S = P Q$ , so $S = R^{- 1} (P Q)$ .
$∣ R ∣ = 16 - 15 = 1$ , $R^{- 1} = [8 - 3 - 5 2]$ .
$S = [8 - 3 - 5 2] [343022] = [24 - 215 - 9 + 86 - 110 44] = [- 191 77 - 110 44]$ .
Check: $R S = [343022] = P Q$ .

Matrices: 5 marks Questions (CBSE Class 12)