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Indian Navy Pilot Matrices and Determinants — practice questions

Explore 28 free Matrices and Determinants questions in Indian Navy Pilot Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Matrices and Determinants questions and exercises with answers

Showing questions 1–28 of 28.

Transpose of [[1,2,3],[4,5,6]] is:Read the answer and worked solution →If A is 3×3 with |A| = -2, then |adj(A)| =Read the answer and worked solution →Match the trig identity to its resultRead the answer and worked solution →Match each kind of matrix to its conditionRead the answer and worked solution →Sort each matrix by its shapeRead the answer and worked solution →Tap every matrix that must be squareRead the answer and worked solution →Complete the definition of a matrixRead the answer and worked solution →When is a product defined?Read the answer and worked solution →True or false: transposesRead the answer and worked solution →Symmetric or skew symmetric?Read the answer and worked solution →True or false: matrix algebraRead the answer and worked solution →Complete the equality conditionRead the answer and worked solution →Order the steps: is AB defined, and what order is it?Read the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Special square matricesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Tap every statement true of the identity matrixRead the answer and worked solution →Flip and pair: notation with meaningRead the answer and worked solution →True or false: inversesRead the answer and worked solution →Complete the scalar multiplication rulesRead the answer and worked solution →Which operation needs matching orders?Read the answer and worked solution →Spot the odd one outRead the answer and worked solution →Reading the definitions backRead the answer and worked solution →Assertion and reason: structureRead the answer and worked solution →Order the steps: test whether A is symmetricRead the answer and worked solution →True or false: orders and shapesRead the answer and worked solution →

Worked practice questions

Transpose of [[1,2,3],[4,5,6]] is:

  1. [[1,4],[2,5]]
  2. [[3,2,1],[6,5,4]]
  3. [[3,6],[2,5],[1,4]]
  4. [[1,4],[2,5],[3,6]] (rows become columns)
Show answer and solution

Correct answer: D. [[1,4],[2,5],[3,6]] (rows become columns)

Transpose A^T: rows of A become columns of A^T. (A^T)_(ij) = A_(ji). 2×3 matrix becomes 3×2.

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If A is 3×3 with |A| = -2, then |adj(A)| =

  1. -4
  2. -2
  3. 4 (= |A|^(n-1) = (-2)²)
  4. 1
Show answer and solution

Correct answer: C. 4 (= |A|^(n-1) = (-2)²)

|adj(A)| = |A|^(n-1) for n×n matrix. For 3×3: |adj(A)| = |A|² = (-2)² = 4.

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Match the trig identity to its result

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Matching pairs
  1. Left
    sin²θ + cos²θ
    Right
    1
  2. Left
    1 + tan²θ
    Right
    sec²θ
  3. Left
    1 + cot²θ
    Right
    cosec²θ
  4. Left
    sin(2θ)
    Right
    2 sinθ cosθ
  5. Left
    cos(2θ)
    Right
    cos²θ − sin²θ

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