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Matrices Determinants Questions for AGNIVEER VAYU

Free, AI-curated practice for the Matrices Determinants section of AGNIVEER VAYU. We have 18+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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Sample questions

Q1 · hard · AI-verified
If A and B are square matrices of order 3 such that |A| = 2 and |B| = 3, then |2AB| = ?
  1. 12
  2. 24
  3. 96
  4. 48
Q2 · medium · AI-verified
The determinant of the matrix [[1, 1, 1], [1, 2, 3], [1, 4, 9]] is:
  1. 4
  2. −2
  3. 2
  4. 0
Q3 · easy · AI-verified
The value of the determinant |3 2| |1 4| is:
  1. 10
  2. −10
  3. 8
  4. 14
Q4 · hard · AI-verified
If A is a 3×3 matrix with |A| = 5, then |adj(A)| = ?
  1. 125
  2. 25
  3. 5
  4. 15
Q5 · medium · AI-verified
If A = [[cos θ, −sin θ], [sin θ, cos θ]], then det(A) is:
  1. −1
  2. 0
  3. cos 2θ
  4. 1
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