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Matrices and Determinants Questions for AGNIVEER NAVY

Free, AI-curated practice for the Matrices and Determinants section of AGNIVEER NAVY. We have 19+ 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 · medium · AI-verified
For a 3×3 matrix A, if det(A) = 4, what is det(2A)?
  1. 32
  2. 64
  3. 16
  4. 8
Q2 · easy · AI-verified
If A is a matrix of order 3×4, then the order of its transpose A^T is:
  1. 4×4
  2. 3×4
  3. 3×3
  4. 4×3
Q3 · medium · AI-verified
If A is a 3×3 matrix with det(A) = 5, what is det(A⁻¹)?
  1. 1/5
  2. -5
  3. 25
  4. 5
Q4 · hard · AI-verified
Using Cramer's Rule, the value of x in the system 2x + y = 5 and 3x − 2y = 4 is:
  1. 2
  2. 1
  3. 3
  4. 4
Q5 · hard · AI-verified
The cofactor C₁₂ of the matrix A = [[1, 2, 3], [0, 4, 5], [1, 0, 6]] is:
  1. −5
  2. 4
  3. 5
  4. −4
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