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The inverse of the matrix… (Class 12 Maths SQP 2025-26, Q5)

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MathsCBSE Class 12 · Sample paper, session 2025-26 · 1 mark · MCQ

CBSE Class 12 Mathematics sample paper 2025-26: question 5

From the official CBSE sample question paper for 2025-26, section A, question 5, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q5 · 1 mark · MCQMatrices

The inverse of the matrix is...

  1. (A)
  2. (B)
  3. (C)
  4. (D)

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2025-26.

Hints

Open one hint at a time and try again before the next.

Hint 1

Try multiplying the given matrix by each option.

Hint 2

Which option gives the identity matrix as the product?

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. The inverse of a diagonal matrix (with non-zero diagonal entries) is the diagonal matrix of the reciprocals.

  2. So the inverse is . Check: the product with the given matrix is . Option (B).

    1 mark

Answer: Option (B)

Where the marks are

  • Takes the reciprocals of the diagonal entries (1 mark)

Revise the chapter

  • Chapter: Matrices (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Matrices, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2025-26: every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.