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DSSSB PRT/TGT Matrices & Determinants Questions with Answers & Explanations

20 Matrices & Determinants questions from the Subject: Mathematics section of DSSSB PRT/TGT, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

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Question 1

What is the determinant of the matrix [[-2, 4, 1], [1, 5, 0], [5, 3, -1]]?

  1. A-4
  2. B-18
  3. C-12
  4. D-8
Show answer
Answer: (D) -8 Expand along the first row: a(ek − fh) − b(dk − fg) + c(dh − eg) = -8.
Question 2

What is the determinant of the matrix [[7, -4], [3, -5]]?

  1. A-21
  2. B-13
  3. C23
  4. D-23
Show answer
Answer: (D) -23 det = ad − bc = (7)(-5) − (-4)(3) = -23.
Question 3

What is the determinant of the matrix [[-2, -2], [5, 7]]?

  1. A-2
  2. B-4
  3. C-24
  4. D-31
Show answer
Answer: (B) -4 det = ad − bc = (-2)(7) − (-2)(5) = -4.
Question 4

What is the determinant of the matrix [[-1, 2, 2], [-2, 4, -3], [0, -3, 5]]?

  1. A21
  2. B15
  3. C25
  4. D27
Show answer
Answer: (A) 21 Expand along the first row: a(ek − fh) − b(dk − fg) + c(dh − eg) = 21.
Question 5

What is the determinant of the matrix [[5, -1, 0], [1, -2, -3], [-2, 3, -3]]?

  1. A66
  2. B62
  3. C70
  4. D60
Show answer
Answer: (A) 66 Expand along the first row: a(ek − fh) − b(dk − fg) + c(dh − eg) = 66.
Question 6

What is the determinant of the matrix [[-3, 9], [2, 8]]?

  1. A-42
  2. B42
  3. C-43
  4. D-6
Show answer
Answer: (A) -42 det = ad − bc = (-3)(8) − (9)(2) = -42.
Question 7

What is the determinant of the matrix [[-2, 5, -1], [2, 2, -1], [5, 2, -3]]?

  1. A19
  2. B21
  3. C20
  4. D18
Show answer
Answer: (A) 19 Expand along the first row: a(ek − fh) − b(dk − fg) + c(dh − eg) = 19.
Question 8

What is the determinant of the matrix [[8, 8], [0, 0]]?

  1. A0
  2. B64
  3. C2
  4. D5
Show answer
Answer: (A) 0 det = ad − bc = (8)(0) − (8)(0) = 0.
Question 9

What is the determinant of the matrix [[-3, 0, 0], [-3, 3, -2], [0, 0, 3]]?

  1. A-27
  2. B-17
  3. C-25
  4. D-37
Show answer
Answer: (A) -27 Expand along the first row: a(ek − fh) − b(dk − fg) + c(dh − eg) = -27.
Question 10

What is the determinant of the matrix [[-4, 4], [6, 0]]?

  1. A24
  2. B-22
  3. C-16
  4. D-24
Show answer
Answer: (D) -24 det = ad − bc = (-4)(0) − (4)(6) = -24.

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Question 11

What is the determinant of the matrix [[-1, -1, 1], [-1, 2, -3], [-2, 4, 4]]?

  1. A-20
  2. B-30
  3. C-32
  4. D-26
Show answer
Answer: (B) -30 Expand along the first row: a(ek − fh) − b(dk − fg) + c(dh − eg) = -30.
Question 12

What is the determinant of the matrix [[0, 7], [9, -5]]?

  1. A-61
  2. B45
  3. C-63
  4. D63
Show answer
Answer: (C) -63 det = ad − bc = (0)(-5) − (7)(9) = -63.
Question 13

What is the determinant of the matrix [[0, -1, 4], [-3, 1, 2], [5, -2, 0]]?

  1. A-6
  2. B-5
  3. C-2
  4. D-7
Show answer
Answer: (A) -6 Expand along the first row: a(ek − fh) − b(dk − fg) + c(dh − eg) = -6.
Question 14

What is the determinant of the matrix [[2, 7], [8, 5]]?

  1. A-46
  2. B-44
  3. C46
  4. D-26
Show answer
Answer: (A) -46 det = ad − bc = (2)(5) − (7)(8) = -46.
Question 15

What is the determinant of the matrix [[-1, 5, 5], [5, 2, 2], [1, 4, -1]]?

  1. A131
  2. B139
  3. C135
  4. D133
Show answer
Answer: (C) 135 Expand along the first row: a(ek − fh) − b(dk − fg) + c(dh − eg) = 135.
Question 16

What is the determinant of the matrix [[4, -1], [-2, 5]]?

  1. A18
  2. B20
  3. C-18
  4. D22
Show answer
Answer: (A) 18 det = ad − bc = (4)(5) − (-1)(-2) = 18.
Question 17

What is the determinant of the matrix [[2, 0, 4], [3, -1, 1], [4, -1, 2]]?

  1. A0
  2. B1
  3. C-8
  4. D2
Show answer
Answer: (D) 2 Expand along the first row: a(ek − fh) − b(dk − fg) + c(dh − eg) = 2.
Question 18

What is the determinant of the matrix [[4, -5], [-1, -4]]?

  1. A21
  2. B-21
  3. C-11
  4. D-24
Show answer
Answer: (B) -21 det = ad − bc = (4)(-4) − (-5)(-1) = -21.
Question 19

What is the determinant of the matrix [[3, 2, -2], [4, 5, 1], [4, 5, -3]]?

  1. A-27
  2. B-18
  3. C-28
  4. D-24
Show answer
Answer: (C) -28 Expand along the first row: a(ek − fh) − b(dk − fg) + c(dh − eg) = -28.
Question 20

What is the determinant of the matrix [[5, 3], [-4, 2]]?

  1. A-2
  2. B24
  3. C22
  4. D23
Show answer
Answer: (C) 22 det = ad − bc = (5)(2) − (3)(-4) = 22.

These are RankerClub practice questions written in the DSSSB PRT/TGT pattern. They are not official SSC/IBPS/RRB papers.

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