Matrices & Determinants

JKSSB Finance Accounts Assistant · Mathematics · 16 practice questions with answers and explanations: 4 Easy, 6 Medium, 6 Hard.

Sample questions

Sample Easy question 1

What is the order of a matrix with 2 rows and 3 columns?

  1. 2×3
  2. 3×2
  3. 6×1
  4. 2×2
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Answer: A. Matrix order is stated as rows × columns: 2×3.

Sample Medium question 2

The product [[1, 2], [0, 1]] × [[1, 0], [3, 1]] is:

  1. [[7, 2], [3, 1]]
  2. [[1, 2], [3, 7]]
  3. [[1, 0], [0, 1]]
  4. [[2, 2], [3, 2]]
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Answer: A. Row 1: (1·1 + 2·3, 1·0 + 2·1) = (7, 2). Row 2: (0·1 + 1·3, 0·0 + 1·1) = (3, 1).

Sample Hard question 3

A square matrix A for which Aᵀ = −A is called:

  1. Skew-symmetric
  2. Symmetric
  3. Orthogonal
  4. Singular
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Answer: A. Skew-symmetric matrices satisfy Aᵀ = −A (so their diagonal entries are all zero); symmetric ones satisfy Aᵀ = A.

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